Question

if the product of two numbers is 3691 and their LCM is 3691 , then find their LCM​

Answer 1

Correction in the question :

If the product of two numbers is 3691 and their LCM is 3691 , then find their HCF.

Product of two numbers = 3691

LCM of those two numbers = 3691

Let the HCF of the numbers be x

We know that,

LCM × HCF = Product of two numbers

According to the problem,

3691 × x = 3691

x = 3691/3691

x = 1

Therefore, the HCF of those numbers is 1.

Answer 2

$\Large{\mathfrak{\underline{\underline{Correct \: Question :-}}}}$

If the Product of Two Numbers is 3691 and their LCM is 3691, Then Find their HCF.

$\Large{\mathfrak{\underline{\underline{Answer :-}}}}$

HCF of Two Numbers is 1.

$\Large{\mathfrak{\underline{\underline{Explanation :-}}}}$

Given :

Product of Two Numbers = 3691

Their LCM = 3691

To Find :

HCF of those Two Numbers

Solution :

We know that,

$\sf{HCF \times LCM = Product \: of \: Two \: Numbers}$

Therefore,

$\sf HCF \times 3691 = 3691 \\ \Rightarrow \sf HCF = \frac{ \cancel{3691}}{ \cancel{3691}} \\ \Rightarrow \sf HCF = 1$

$\rule{200}{2}$