Question

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

Answer 1

This discussion on Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. Can you explain this answer? is done on EduRev Study Group by Class 6 Students. The Questions and Answers of Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6...

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Answer 2

Question⤵

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

Answer⤵

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.