Question

the largest number which divides 53 and 87 leaving remainder 2 in each case,is? a) 15 b) 17 c) 19 d) 13

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Numbers 53 and 87}$

$\underline{\textsf{To find:}}$

$\textsf{The largest number which divides 53 and 87 leaving remainder 2}$

$\underline{\textsf{Solution:}}$

$\textsf{As per given data,}$

$\textsf{We have to find out a largest which divides 53-2 and 87-2}$

$\text{That is, we have to find out H.C.F of 51 and 85}$

$\mathsf{51=3{\times}\boxed{17}}$

$\mathsf{85=5{\times}\boxed{17}}$

$\textsf{From the above factorization, 17 is the highest common factor 51 and 85}$

$\underline{\textsf{Answer:}}$

$\textsf{The largest number which divides 53 and 87 leaving remainder 2 is 17}$

Answer 2

Answer:

$\underline{\textsf{Given:}}$

$\textsf{Numbers 53 and 87}$

$\underline{\textsf{To find:}}$

$\textsf \pink{The largest number which divides 53 and 87 leaving remainder 2}$

$\underline{\textsf{Solution:}}$

$\textsf{As per given data,}$

$\textsf{We have to find out a largest which divides 53-2 and 87-2}$

$\text{That is, we have to find out H.C.F of 51 and 85}$

$\mathsf \orange{51=3{\times}\boxed{17}}$

$\mathsf \gray{85=5{\times}\boxed{17}}$

$\textsf \green{From the above factorization, 17 is the highest common factor 51 and 85}$

$\underline{\textsf \red{Answer:}}$

$\textsf{The largest number which divides 53 and 87 leaving remainder 2 is 17}$