Greatest Common Factor of 21/137, 42/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/137, 42/894

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 21/137,42/894

Given fractions are 21/137,42/894

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 21,42

Greatest Common Factor of Numerators i.e. GCF of 21,42 is 21 .

LCM of Denominators means LCM of 137,894 as per the given fractions.

LCM of 137,894 is 122478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,42

GCF of Fractions 21/137,42/894 is 21/122478

3 21, 42
7 7, 14
1, 2

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 21,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,42 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 21,42 . The biggest common factor number is the GCF number.
So the greatest common factor 21,42 is 21.

Lets's calculate LCM of 137,894

Given numbers has no common factors except 1. So, there LCM is their product i.e 122478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/122478

Therefore, the GCF of Fractions 21/137,42/894 is 21/122478

Least Common Multiple of 137,894 with GCF Formula

Least Common Multiple of 137,894 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 137,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,894) = 1

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

GCF(137,894) x common factors =1 x 1 = 1

LCM(137,894) = ( 137 × 894 ) / 1

LCM(137,894) = 122478 / 1

LCM(137,894) = 122478


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 21/137, 42/894

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 21/137, 42/894?

Answer: GCF of Numerators as per given numbers 21/137, 42/894 is

GCF of Numerators i.e. for 21,42 is 21

LCM of denominators i.e. for 137,894 is 122478.

Thus, GCF of Fractions is 21/122478.Finally, GCF of Fractions for 21/137, 42/894 is 21/122478.