Question

find the largest number which divides 245 and 1029 leaving remainder 5 in each case​

Answer 1

Step-by-step explanation:

You want the largest number that divides the two numbers leaving a remainder of 5 in each case. 245 - 5 = 240. Thus the HCF = 2^4 = 16. So the answer is 16.

Answer 2

Step-by-step explanation:

Given -

• Numbers 245 and 1029

To Find -

• Largest number which divides 245 and 1029 leaving remainder 5 in each case.

At first, we have to subtract 5 from each number and then find the H.C.F

It means,

245 - 5 = 240

1029 - 5 = 1024

Now,

HCF of 240 and 1024 is

240 = 2×2×2×2×3×5

1024 = 2×2×2×2×2×2×2×2×2×2

HCF = 2×2×2×2

→ 16

Hence,

The largest number is 16