Question

Find the greatest number that divides 85 and 101 leaving remainder of 5 in each case.​

Answer 1

So,Your answer is 16.

Hope it'll help you.

Answer 2

85-5=80

101-5=96

HCF of 80 and 96

80=2×2×2×2×5

96=2×2×2×2×2×3

Common factor=2×2×2×2=16

Therefore, 16 is the greatest number that divides 85 and 101 leaving remainder of 5 in each case.

Check=

16×5+5=80+5

16×6+5=96+5

Hope this helps you

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