Question

Find the greatest number that divides 79115 and 163, leaving remainder 7 in each case

Answer 1

Step-by-step explanation:

Given:79, 115 and 163

To find:Find the greatest number that divides 79, 115 and 163, leaving remainder 7 in each case.

Solution:

Step 1: Subtract 7 from both numbers

79-7=72

115-7=108

163-7=156

Step2: Find HCF of 72,108,156

72=2×2×2×3×3

108=2×2×3×3×3

156=2×2×3×13

HCF(72,108,156)=2×2×3

HCF(72,108,156)=12

Final answer:

The greatest number is 12 that divides 79,115 and 163, leaving remainder 7 in each case.

Hope it helps you.

To learn more on brainly:

Find the greatest number that will divide 55,75,113 leaving the remainder 7,3,5 respectively

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