Question

Find the largest positive integer that will divisible $122$, $150$ and $115$ leaving remainder $5$, $7$ and $11$ respectively.

Answer 1

$122-5=117$

$150-7=143$

$115-11=104$

The HCF of $104,117$ and $143$ is $13$

The largest number which divides $122,150$ and $115$ leaving $5,7$and $11$ respectively as remainders is $13$