Question

Find the greatest number which can divide 89,53,77 and leave reminder 5in each caseWhen the answer is 12

Answer 1

largest no. which divides 89,53,77 leaving remainder 5 in each case is 12
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Answer 2

Given:

There are 3 number: 89, 53 and 77

To Find:

The greatest number that can divide these numbers and leaves a remainder 5

Solution:

Find the numbers without the remainder 5:

89 - 5 = 84

53 - 5 = 48

77 - 5 = 72

Find the Highest Common Factor:

84 = 2² × 3 × 7

48 = 2⁴ × 3

72 = 2³ × 3²

HCF = 2² × 3

HCF = 12

Answer: The greatest number that can divide all the 3 numbers and leave a remainder of 5 is 12.