Question

Find the greatest number which when divides 85, 53 and 77 leaves the same remainder 1 in each case.​

Answer 1

Step-by-step explanation:

Firstly, we will reduce the remainder from each case.

85 - 1 = 84

53 - 1 = 52

77 - 1 = 76

Now we will find the HCF,

84 = 2 × 2 × 7 × 3

52 = 2 × 2 × 13

76 = 2 × 2 × 19

HCF = 4

Hence, the greatest number that will divide would be 4

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