The product of two number is 432 and their L.C.M. is 72 . Find their H.C.F.
Answers
Answered by
19
Hi friend!!
We know that
Hcf ×Lcm =product of two numbers
Given,
The product of two number is 432 and their lcm is 72.
→72×HCF=432
HCF=6
I hope this will help you ;)
Answered by
8
Answer :-
- The H.C.F is
Step-by-step explanation:
To Find :-
- The H.C.F [Highest common factor]
Solution
Given that,
- The product of two numbers = 432
- The L.C.M = 72
We know,
L.C.M × H.C.F = Product of two numbers,
∴ A . T . Q,
⇒ L.C.M × H.C.F = Product of two numbers
⇒ 72 × H.C.F = 432
⇒ H.C.F = 432/72
⇒ H.C.F = 6
V E R I F I C A T I O N :-
- L.C.M × H.C.F = Product of two numbers.
By putting the value of H.C.F and verifying [L.H.S] :-
⇒ L.C.M × H.C.F
⇒ 72 × 6
⇒ 432
Now, L.H.S = R.H.S = 432
Hence, Verified!
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