# HCF and LCM of Fractions and Decimals

### Hello Aspirants, In this post we will deal with " HCF and LCM of Fractions and Decimals "

#### HCF of Fractions :

h.c.f. of given fractions  =           h.c.f. of numerator
l.c.m. of denominator

Let's understand the concept with an example :

Question 1 : Find HCF of 2/5, 3/7, 4/3

Now, Here Numerators are 2, 3, 4 and Denominators are 5, 7, 3

Applying Above Formula, we get

HCF =         h.c.f. of numerator
l.c.m. of denominator
=          h.c.f. of 2, 3, 4
l.c.m. of 5, 7, 3
=      1
105

Hence, HCF of 2/5, 3/7, 4/3 is 1/105

#### LCM of Fractions :

l.c.m. of given fractions  =      l.c.m. of numerator
h.c.f. of denominator

Let's understand the concept with an example :

Question 1 : Find HCF of 2/5, 3/7, 4/3

Now, Here Numerators are 2, 3, 4 and Denominators are 5, 7, 3

Applying Above Formula, we get

LCM =         l.c.m. of numerator
h.c.f. of denominator
=          l.c.m. of 2, 3, 4
h.c.f. of 5, 7, 3
=     12
1

Hence, LCM of 2/5, 3/7, 4/3 is 12/1 = 12

#### HCF of Decimals :

Method 1 : Convert Decimals into Fractions and then use above formula to find the HCF

Method 2 : Calculate HCF without considering decimal and then in HCF assign decimal

#### LCM of Decimals :

Method 1 : Convert Decimals into Fractions and then use above formula to find the LCM

Method 2 : Calculate LCM without considering decimal and then in LCM assign decimal