Question

Find the largest number which divides 35 and 49 leaving remainder 7 in each case?

Answer 1

Answer: 14.

Step-by-step explanation:

To find the largest number which divides 35 and 49 leaving remainder 7 in each case.

First subtract the remainder from the numbers , we get

$35-7=28\\49-7=42$

Now the largest number that divider 28 and 42 = GCF(28,42)

$\text{Since}\ 28=2\times2\times7\\42=2\times3\times7$

We can see the greatest common factor of 28 and 42=$2\times7=14$

Hence, the largest number which divides 35 and 49 leaving remainder 7 in each case = 14.