Question

`\sf \: If \: LCM \: (18,21) = 126 \: find \: HCF`

No Spam :-
Give best Ans :-)
​

Answer 1

3

Explanation:

Given the LCM of 18 and 21 is 126, you want the HCF.

LCM and HCF

The relation between two numbers, their LCM and HCF is ...

LCM(A, B) = A·B/HCF(A, B)

Then the HCF is ...

HCF(A, B) = A·B/LCM(A, B) = 18·21/126 = 3

The highest common factor is 3.

__

Additional comment

By Euclid's algorithm, 21 mod 18 = 3; 18 mod 3 = 0, so 3 is the HCF.

Answer 2

Solution :-

Here,

LCM = 126

Two number is = 18 and 21

We have to find -

• HCF

Now,

We know that,

`\large \bf \: HCF = (Product \: of \: two \: number \:)/(HCF)`

Putting the values

→ 18 × 21 / 126

→ 18 / 6

→ 3

Thus,

• If LCM (18 , 21) = 126 then, HCF is = 3 .

Hope it helpfull !

`\rule{190pt}{4pt}`