Question

Find the greatest number that will divide 76;113 and 186 leaving remainder 4;5;6 respectively

Answer 1

hope it helps you.....

Answer 2

Solution:-

72 - 4 = 72

113 - 5 = 108

186 - 6 = 180

Now Find the greatest common factor of these numbers:-

72 = 2×2×2×3×3

108 = 2×2×3×3×3

180 = 2×3×3×2×5

The common factors are 2×2×3×3=36

HCF[12,108,180]=36

So, 76/36 = 2 ➡ remainder is 4.

113/36 = 3 ➡ remainder is 5.

186/36 = 5 ➡ remainder is 6.