Question

find the largest number which divides 209 and 260 leaving remainder 5 in each case​

Answer 1

Step-by-step explanation:

THE HCF OF 209 - 5= 204 and 260 - 5 = 255 is 17

please mark me BRAINLIST...hope you do...

Answer 2

51

Explanation:

First, subtract the common remainder from both the given numbers

$209 - 5 = 204$

$260 - 5 = 255$

Now, find the HCF or GCD of the numbers got from subtracting the common remainder.

$Prime \: Factorization \: of \: 204 = 2 \times 2 \times 3\times 17$

$Prime \: Factorization \: of \: 255 = 3 \times 5 \times 17$

$Common \: Factors \: = 3 \times 17$

$HCF\: = 51$

Therefore, the number that divides 209 and 260 leaving 5 in each case is 51.

Hope it helps you