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