Question

find the greatest number which will divide 264 and 168 exactly living reminder of 8 in each case​

Answer 1

Answer:

32 is that number .............

Answer 2

Answer:

let the largest number be x.

so x divides 264 - 8 = 256

and x also divides 168 - 8 = 160

so x is HCF pf 160 and 256.

Prime factor of 160 = 2×2×2×2×2×5

Prime factor of 256 = 2×2×2×2×2×2×2×2

Hence, HCF = 2×2×2×2×2 = 32

So, largest number is 32.