### 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 =

l.c.m. of denominator__h.c.f. of numerator__
=

l.c.m. of 5, 7, 3__h.c.f. of 2, 3, 4__
=

105

__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 =

h.c.f. of denominator__l.c.m. of numerator__
=

h.c.f. of 5, 7, 3__l.c.m. of 2, 3, 4__
=

1

__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

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

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

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