Question

find the greatest number which on dividing 1657 and 2037 leaves remainder 6 and 5 respectively

Answer 1

Here is your answer dear⬇️⬇️

We will subtract 6 from 1657 and 5 from 2037

$\therefore{}$ 1657 - 6 = 1651

2037 - 5 = 2032

Now, we will find the HCF of 1651 and 2037

So,

1651 = 13×127

2037 = 2×2×2×2×127

Common factors = 127

$\therefore{}$ $\large \blue {127 \: is \: the \: greatest \: number.}$


$\mathfrak \green {Hope \: my \: answer \: helps \: you \: dear}$