One of the very common and interesting topics taught to kids at an early age is Highest Common Factor or H.C.F. Those, who want to practice H.C.F Word Problems with Answers can get them all in one place.\u00a0 In this article, you will find Word Problems on H.C.F covering various questions. Know how questions are framed on the topic HCF by referring to the HCF Example Problems and get an idea on how to find HCF Quickly. The HCF Sums provided here include questions on finding the Highest Common Factor of 2 or more numbers.<\/p>\n
Also, Read:<\/p>\n
Example 1:<\/strong> Example 2:<\/strong> Example 3: Example 4: Example 5: Example 6: Example 7: Example 8: One of the very common and interesting topics taught to kids at an early age is Highest Common Factor or H.C.F. Those, who want to practice H.C.F Word Problems with Answers can get them all in one place.\u00a0 In this article, you will find Word Problems on H.C.F covering various questions. Know how questions are … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":116949,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/06\/Word-Problems-on-HCF.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/116846"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=116846"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/116846\/revisions"}],"predecessor-version":[{"id":135491,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/116846\/revisions\/135491"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/116949"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=116846"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=116846"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=116846"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nRam has 60 liters of oil and 90 liters of oil. He wants to sell oil by mixing oils in tins of equal volumes. What is the greatest of such tin?
\nSolution:
\n<\/strong>We have to fill the tins with equal volumes.
\nWe have to find the bigger number which exactly divides 60, 90. i.e. nothing but the H.C.F of (60, 90).
\nH.C.F(60, 90)=30.
\nThe first kind 60 liters is sold in two tins of volumes 30 liters in each tin.
\nThe second kind of oil 90 liters is sold in three tins of volume 30 liters in each tin.
\nTherefore, the greatest volume of each tin is 30 liters.<\/p>\n
\nA fruit juice owner has three types of juices. 320 liters of the first kind, 350 liters of the second kind, 400 liters of the third kind. Find the least possible number of bottles of equal size in which different types of juices can be filled without mixing?
\nSolution:
\n<\/strong>For the least possible number of bottles of equal size, the size of the bottle must be great volume.
\n<\/strong>To get the greatest volume of equal size, We have to find the greatest number that exactly divides 320 liters, 350 liters, 400 liters.
\nH.C.F(320,350,400)=10
\nEach bottle must be of the volume 10 liters.
\nRequired no. of bottles= (320\/10+350\/10+400\/10)
\n=32+35+40=107
\nTherefore, the least possible number of equal sizes of bottles required is 107.<\/p>\n
\n<\/strong>Sailaja invited her friends. she has 20 samosas and 15 sweets. She wants to make all the plates similar without any food leftover, what is the greatest number of plates Sailaja can prepare?
\nSolution:
\n<\/strong>To make all the plates similar and find the greatest number of plates, we have to find the greatest number that can divide 20, 15.
\nH.C.F(20, 15)=5
\n20 samosas are filled in 5 plates with 4 samosas.
\n15 sweets are filled in 5 plates with 3 sweets.
\nOn each plate, there will be 4 samosas, 3 sweets. All 5 plates will be similar.
\nTherefore, the greatest number of plates Sailaja can prepare is 5 plates.<\/p>\n
\n<\/strong>Laxman has two pieces of wire, one is 8m long and another is 12m long. He wants to cut them of equal length with no pieces of wire left. Find the greatest length of wire he can make?
\nSolution:
\n<\/strong>When the two wires are cut into small pieces, each piece must of the same length, and also it has to be the possible greatest length.
\n8 feet wire can be cut into pieces of (2, 2, 2,2) or (4, 4)
\n12 feet wire can be cut into pieces of (2, 2, 2, 2, 2, 2 ) or (3, 3, 3, 3)
\nThe length of each small piece must be the greatest length.
\nTo find the possible greatest length, we have to find the greatest number which can divide both 8 and 12. That is H.C.F of (8,12).
\nH.C.F of (8,12)=4
\nHence, the greatest length of each small piece will be 4 cm.
\n8 feet wire is cut into two pieces.
\n12 feet wire is cut into 3 pieces.<\/p>\n
\n<\/strong>Raju has 25 white chairs and 15 red chairs. They want to arrange the chairs in such a way that each row contains an equal number of chairs and also each row should have only red chairs or green chairs. What is the greatest number of chairs that can be arranged in each row?
\nSolution:
\n<\/strong>In order to find the greatest number of chairs that can be arranged in equal rows, we have to find the HCF of two numbers.
\nFactors of 25 are 1, 5,25
\nFactors of 15 are 1,3,5,15.
\nThe highest common factor is 5.
\nTherefore the greatest number of chairs can be arranged in a row is 5.<\/p>\n
\n<\/strong>Laya has 10 chocolates and 15 biscuits. If she wants to give all her friends the same without any leftovers, Find how many maximum friends she can give?
\nSolution:
\n<\/strong>she wants to give all her friends the same, we have to find the greatest number which can divide 10,15.
\nH.C.F of (10, 15) is 5.
\n10 chocolates can be served to 5 people with 2 chocolates each.
\n15 biscuits can be served to 5 people 3 biscuits each.
\nTherefore, each member will be given 5 people and 3 biscuits.<\/p>\n
\n<\/strong>A milkman has two kinds of milk 80 liters, 280 liters. He wants to sell milk by mixing two kinds of milk in tins of equal volumes. What is the greatest of such a tin?
\nSolution:
\n<\/strong>The volume of the milk filled in the tin is greatest.
\nWe have to find the bigger number that exactly divides 80, 280. It is nothing but H.C.F of (80,280)
\nH.C.F(80,280)=40.
\nWater 80 liters is sold in two tins of volume 40 liters each.
\nMilk 280 liters are sold in seven tins of volume 40 liters each.
\nTherefore, the greatest volume of each tin is 40 liters.<\/p>\n
\n<\/strong>The sum of two numbers is 100. HCF is 20. Find how many such pairs can be formed?
\nSolution:<\/strong>
\nAs H.C.F is 20.
\nSo the two numbers are 20x, 20y.
\n20x+20y=100
\nDivide each side by 20.
\nX+y=5
\nWe have to find the values of x and y such that the sum is 5.
\nThe possible values of x,y are (1,4),(2,3)
\nHere we have to check for Co-primes i.e. if they have no common positive factor other than 1.
\nIn the above pairs (2,3) is Co-primes.
\nHence the number of pairs is 1.<\/p>\n","protected":false},"excerpt":{"rendered":"