LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

FINDING HCF & LCM OF SAME NUMBERS

__FINDING HCF & LCM OF THE SAME NUMBERS__

**1) Find
HCF & LCM of 75, 125, 25.**

**To find out the HCF
we have to depend on common factors only.**

**So, in the divisional
method there are no other common factors except 5, 5. The remaining factors
3, 5 & 1 are co-prime numbers, so there only common factors are one ‘1’.**

**So, the HCF is 5 x 5
= 25, HCF of 75, 125 & 25 is 25.**

**To find the LCM we
have to depend on not only Common factors even remaining factors also.**

**So, LCF of the
numbers 75, 125 and 25 is = 5 x 5 x ( 3 x 5 x 1 ) = 375**

**So, HCF & LCM of
the numbers 75, 125 & 25 are 25 & 375 respectively. (Ans.)**

**2) Find HCF & LCM of 80, 60, 120.**

**To find out the HCF
we have to depend on common factors only**

**So, in the divisional
method there are no other common factors except 2, 2, 5, 2, 3. The remaining factors 2, 1 & 1 are co-prime numbers, so there only common
factors are one ‘1’.**

**So, the HCF is 2 x 2
x 5 x 2 x 3 = 120, HCF of 80, 60 & 120 is 120.**

**To find the LCM, we
have to depend on not only Common factors even remaining factors also.**

**So, LCM of the
numbers 80, 60 and 120 is = 2 x 2 x 5 x 2 x 3 x (2 x 1 x 1) = 240**

**So, HCF & LCM of
the numbers 80, 60 & 120 are 120 & 240 respectively. (Ans.)**