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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