Question

Find the greatest number which divides 2300 and 3500 to remainders 32 and 56 respectively​

Answer 1

As we know that the largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).
Required number = HCF of 2300 – 32 = 2268 and 3500 – 56 = 3444


Hcf=84...which is the greatest number