Question

HCF and LCM of two numbers are 131 and 8253 respectively if one of the numbers is 917 find the other​

Answer 1

$\huge\sf\red{\underline{\underline{Given}}}\::$

$\begin{cases}\sf\gray{H.C.F = 131} \\ \sf\gray{L.C.M = 8253} \\\sf\gray{One\: of\: the \:number = 917}\\\sf\gray{Unknown\: number\:=\:x}\end{cases}$

$\huge\sf\blue{\underline{\underline{To\:Find}}}\::$

$\begin{cases}\sf\gray{The\:other \:number}\end{cases}$

$\huge\sf\pink{\underline{\underline{Solution}}}\::$

$\large{\boxed{\sf\orange{H.C.F \times L.C.M = Product \: of \: two\: numbers}}}$

$\longmapsto\:\:\: \sf \purple{131 \times 8253 = 917x}$

$\longmapsto\:\:\: \sf\green {1081143 = 917x}$

$\longmapsto\:\:\: \sf\purple {x = \dfrac{\cancel{1081143}}{\cancel{917}} }$

$\longmapsto \:\:\:\sf \underline\pink{x = 1179}$

$\star\:\sf\underline\red{Hence,\:the\: other\:number\:is\:1179}$

Answer 2

$\huge\sf{\underline{\underline{Solution}}}\::$

$\large{\boxed{\sf{H.C.F \times L.C.M = Product \: of \: two\: numbers}}}$

$\longmapsto\:\:\: \sf {131 \times 8253 = 917x}$

$\longmapsto\:\:\: \sf{1081143 = 917x}$

$\longmapsto\:\:\: \sf\ {x = \dfrac{\cancel{1081143}}{\cancel{917}} }$

$\longmapsto \:\:\:\sf \underline{x = 1179}$

$\star\:\sf\underline{Hence,\:the\: other\:number\:is\:1179}$