Greatest Common Factor of 21/73, 36/62, 14/81, 77/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/73, 36/62, 14/81, 77/901

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 21/73,36/62,14/81,77/901

Given fractions are 21/73,36/62,14/81,77/901

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 21,36,14,77

Greatest Common Factor of Numerators i.e. GCF of 21,36,14,77 is 1 .

LCM of Denominators means LCM of 73,62,81,901 as per the given fractions.

LCM of 73,62,81,901 is 330312006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,36,14,77

GCF of Fractions 21/73,36/62,14/81,77/901 is 1/330312006

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 21,36,14,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,36,14,77 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 21,36,14,77 . The biggest common factor number is the GCF number.
So the greatest common factor 21,36,14,77 is 1.

Lets's calculate LCM of 73,62,81,901

Given numbers has no common factors except 1. So, there LCM is their product i.e 330312006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330312006

Therefore, the GCF of Fractions 21/73,36/62,14/81,77/901 is 1/330312006

Least Common Multiple of 73,62,81,901 with GCF Formula

Least Common Multiple of 73,62,81,901 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,62,81,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,62,81,901) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,62,81,901) x common factors =1 x 1 = 1

LCM(73,62,81,901) = ( 73 × 62 × 81 × 901 ) / 1

LCM(73,62,81,901) = 330312006 / 1

LCM(73,62,81,901) = 330312006


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 21/73, 36/62, 14/81, 77/901

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 21/73, 36/62, 14/81, 77/901?

Answer: GCF of Numerators as per given numbers 21/73, 36/62, 14/81, 77/901 is

GCF of Numerators i.e. for 21,36,14,77 is 1

LCM of denominators i.e. for 73,62,81,901 is 330312006.

Thus, GCF of Fractions is 1/330312006.Finally, GCF of Fractions for 21/73, 36/62, 14/81, 77/901 is 1/330312006.