Question

What is the greatest number which shall divide 305 and 629 and leave a remainder 8 in each case? 24 36 27 35

Answer 1

Answer:

Hellow!

I didn't get the answer clear. so I solved  the question as:

What is the greatest number which shall divide 305 and 629 and leave a remainder 8 in each case?

Answer 2

Answer:

27 is the greatest number which shall divide 305 and 629 and leave a remainder of 8 in each case.

Given:

two numbers- 305 and 629

To find:

the greatest number which shall divide 305 and 629 and leave a remainder of 8 in each case

Solution:

step - 1: to find the number, we must first subtract 8 from each of these numbers.

305 - 8 = 297

629 - 8 = 621

step - 2: we need to find the HCF of these numbers.

297 = 3 x 3 x 3 x 11

621 = 3 x 3 x 3 x 23

so, HCF = common factors = 3 x 3 x 3 = 27

Hence, 27 is the greatest number which shall divide by 305 and 629 and leave a remainder of 8 in each case.

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