Question

number is 30, find the other. LCM of two numbers 160 and 352 is 1760. Find their HCF. ​

Answer 1

Answer:

Hello,

we have that:

160=25x5 352-25×11

SO

LCM=25x5x11=32×5×11=1760; HCF-25-32

Please mark me as Brainliast

Answer 2

QuEsTiOn,

• Number is 30, find the other. LCM of two numbers 160 and 352 is 1760. Find their HCF.

To FiNd,

• $\color{red} \boxed{ \sf\: The \: H.C.F}$

SoLuTiOn,

$\color{blue} \bf \: As \: We \: Know \: That,$

$\color{red} \boxed{ \bf \: LCM_{(A,B)} × HCF_{(A,B)} = A × B}$

$\sf \: LCM_{(160,352)} × HCF_{(160,352)} = 160 × 352$

$\sf \: 1760 × HCF_{(160,352)} = 160 × 352$

$\sf \:HCF_{(160,352)} = \frac{160 × 352}{1760}$

$\sf \:HCF_{(160,352)} = \frac{ \cancel{160} × 352}{ \cancel{1760}}$

$\sf \:HCF_{(160,352)} = \frac{ 1 × \cancel{352}}{ \cancel {11 }}$

$\sf \: HCF_{(160,352)} = 32$

FiNaL AnSwEr,

$\color{blue} \boxed{\sf \: HCF_{(160,352)} = 32}$

Hope you get your AnSwEr.