Question

greatest number which divides 1628,1736 and 268 leaving remainders 8,11 and 13 respectively

Answer 1

the greatest numbers which divides 1628,1736 and 268 and leaves the remainder 8,11 and 13 are 203.5,157.818182 and 20.6153846.

Answer 2

The number should be HCF of (1628-8), (1736-11) and (268-13).

$1628-8=1620\\1736-11=1725\\268-13=255$

Factors of 1620, 1725 and 255

$1620=5\times 3\times 3\times 3\times 3\times4\\1725=5\times 3\times 5\times 23\\255=5\times 3\times 17$

15 is the HCF of 1620, 1725, and 255.

15 is the greatest number which divides 1628,1736 and 268 leaving remainders 8,11 and 13 respectively.