lcm / hcf / mixed problem / class- 4-5/ Knowledge Hub

 

 Problem type - 1

1- Find the greatest number that will exactly divide 840 and 2296.

2- Find the greatest number that will divide each of 90, 108, and 126 without leaving a remainder.

3- Find the greatest number that will divide 24 and 36 having no remainder

4- Find the greatest number that will divide each of 18, 24, and 36 without leaving a remainder.

5- Find the greatest number that will divide each of 48 and 72 without leaving a remainder.

6- Find the greatest number that will divide each of 125, 225, and 325 without leaving a remainder. 

Problem type -2

 1- Find the greatest number which which divides 615 and 963 leaving the remainder 6 in each case.

2- Find the greatest number which divides 2011 and 2623 leaving remainders 9 and 5 respectively.

3- Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5, 6 respectively.

4- Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

5- Find the greatest number that will divide 137, 182 and 422, leaving remainder 2 in each case.

6- Find the greatest number that will divide 37, 56 and 93, leaving remainders 1, 2 and 3 respectively. 

7- Find the greatest number which divides 517 and 815 leaving remainders 1 and 3 respectively. 

8- Find the greatest number that will divide 37, 50 and 123, leaving remainders 1, 2 and 3 respectively.   

 

Problem type -3

 1- Find the least number divisible by 15, 20, 24, 32 and 36


Problem type -4

1- Find the least number which when divided by 25, 40 and 60 leaves 9 as remainder in each case.

2- Find the smallest number which when divided by 6, 8, 12, 15 and 20 leaves the same remainder 5.

Problem type -5

1- Find the least number of five digits that is exactly divisible by 16, 18, 24 and 30

2- Find the smallest number of five digits that is exactly divisible by 60, 90 and 80

Problem type -6

1- Find the greatest number of five digits that is exactly divisible by 9, 12, 15, 18 and 24


2- Find the greatest number of six digits that is exactly divisible by 27, 45, 60, 72 and96

3- Find the greatest number of three digits that is exactly divisible by 75, 45 and 60

Three pieces of timber 42m, 49 m and 63 m long,  have to be divided into planks of the same length. What is the greatest possible length of each plank? 

Three different containers contain 403 l,  434 l,  and 465 l of milk respectively. Find the capacity of container which can measure the milk of all the containers in an exact number of times. 

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