Question

Find greatest number which divides 1628 and 5336 exactly leaving remainder 8 in each case.

Answer 1

Answer: 36

Step-by-step explanation:

first subtract 8 from both the numbers .

1628-8=1620

5336-8=5328

now find the HCF of both numbers 1620 and 5338

1620= 2×2×3×3×3×3×5

5338=2×2×2×2×3×3×37

HCF= 36

hence,the greatest number which divides 1628 and5336 exactly leaving remainder in each case is 36.