Question

the product of two numbers is 108 . if the L.C.M is 36 , what is the H.C.F​

Answer 1

Product of two number = H.C.F X L.C.M

108=H.C.F X 36

SO,

H.C.F=108/36

HCF=3

Answer 2

${\boxed{ \red{ AnswEr:-}}}$

HCF = 3

★ Given :-

• Product of two numbers = 108
• LCM of two numbers = 36

★ To Find :-

• Value of HCF

$\boxed{ \red{Solution:-}}$

Let the HCF of two numbers be x.

We know that,

$\boxed{\sf \: Products \: of \: two \: numbers = LCM \times HCF}$

$\implies \sf \: 108 = 36 \times x$

( Putting the values)

$\implies \sf \: x = \cancel\dfrac{108}{36}$

$\therefore \sf \: x \: = 3$

Hence,the HCF of two numbers is 3.

★ Explore More :-

HCF(Highest common factor) = Highest factor present between two numbers.

LCM(least common multiple) = Least number which is exactly divisible by two or more numbers.