Question

find the greatest number that will divide 129,161,and224 leaving a remainder of 5 6 7 respectively
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Answer 1

We are looking for a number. It should divide 124, 155, 217 without any remainder.

• 124=2²×31
• 155=5×31
• 217=7×31

Since the above are factors of the number, it is required that GCD of 124, 155, and 217 is the smallest number.

The GCD of the three numbers is 31. Therefore, the biggest number is 31.