Question

find the greatest number which can divide 1356, 1865 and 2764 leaving the same remainder 12 in each case is _______​

Answer 1

Answer:

1

Step-by-step explanation:

Find the greatest common divisor:

gcd(1356, 1865, 2764)

Find the divisors of each integer and select the largest element they have in common:

The divisors of 1356 are:

1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

The divisors of 1865 are:

1, 5, 373, 1865

The divisors of 2764 are:

1, 2, 4, 691, 1382, 2764

The largest number common to all divisor lists is 1:

divisors of 1356: 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

divisors of 1865: 1, 5, 373, 1865

divisors of 2764: 1, 2, 4, 691, 1382, 2764

Answer: |

| gcd(1356, 1865, 2764) = 1