Greatest Common Factor of 152/21, 5263/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/21, 5263/123

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 152/21,5263/123

Given fractions are 152/21,5263/123

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 152,5263

Greatest Common Factor of Numerators i.e. GCF of 152,5263 is 19 .

LCM of Denominators means LCM of 21,123 as per the given fractions.

LCM of 21,123 is 861 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,5263

GCF of Fractions 152/21,5263/123 is 19/861

19 152, 5263
8, 277

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 152,5263 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,5263 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 5263

List of positive integer factors of 5263 that divides 5263 without a remainder.

1,19,277,5263

Greatest Common Factor

We found the factors 152,5263 . The biggest common factor number is the GCF number.
So the greatest common factor 152,5263 is 19.

Lets's calculate LCM of 21,123

3 21, 123
7, 41

∴ So the LCM of the given numbers is 3 x 7 x 41 = 861

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/861

Therefore, the GCF of Fractions 152/21,5263/123 is 19/861

Least Common Multiple of 21,123 with GCF Formula

Least Common Multiple of 21,123 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 21,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,123) = 3

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

GCF(21,123) x common factors =3 x 1 = 3

LCM(21,123) = ( 21 × 123 ) / 3

LCM(21,123) = 2583 / 3

LCM(21,123) = 861


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 152/21, 5263/123

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 152/21, 5263/123?

Answer: GCF of Numerators as per given numbers 152/21, 5263/123 is

GCF of Numerators i.e. for 152,5263 is 19

LCM of denominators i.e. for 21,123 is 861.

Thus, GCF of Fractions is 19/861.Finally, GCF of Fractions for 152/21, 5263/123 is 19/861.