Question

Greatest number which divides 926 and 2313, leaving 2 and 3 remainders, respectively is-​

Answer 1

$\huge\mathbb{SOLUTION:-}$

We have to find the greatest no. which divides 926 and 2313 and leave remainder 2 and 3

Now subtract 2 and 3 from 926 and 2313

$\sf\bullet 926-2= 924\\ \\ \sf\bullet 2313-3= 2310$

• Now by Euclid Division lemma

• Find the H.C. F of 924 and 2310

$\bf\underline{\red{According\:To\: Question:-}}$

$\sf\bullet H.C.F \\ \\ \sf:\implies 2310=924\times 2+462\\ \\ \sf:\implies 924=462\times 2+0\\ \\ \sf\:\:So.\:H.C.F\:= 462$

Now the Number is 462

$\boxed{\sf{Greatest\: Number\:is\:462}}$

Answer 2

ans is 462

hope it helps u