Question

The greatest number which on dividing 1659 and 2036 leaves remainder 8 and 4 respectively is its

Answer 1

Answer:

1659 - 8 = 1651

2036 - 4 = 2032

factors of

1651 = 13 x 127

2032 = 2 x 2 x 2 x 2 x 127

H.C.F = 127

so, the number is 127 which diveides the 1659 and 2036, leaving a reminder of 8 and 4