Find the largest number which when divides 969 and 2059 leaves remainder 9 and 11

if 969 is divided and leaves a remainder 9 then the number which it exactly divides is 960 if 2059 is divided and leaves a remainder 11 then the number which it exactly divides is 2048 now let us find it's hcf 2048 = 960 × 2 +128 960 = 128 × 7 + 64 128 = 64 × 2 + 0 therefore the largest number that divides 969 and 2059 to leave remainder 9 and 11 respectively is 64. Was this answer helpful