Greatest Common Factor of 21/52, 769/31, 507/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/52, 769/31, 507/154

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 21/52,769/31,507/154

Given fractions are 21/52,769/31,507/154

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 21,769,507

Greatest Common Factor of Numerators i.e. GCF of 21,769,507 is 1 .

LCM of Denominators means LCM of 52,31,154 as per the given fractions.

LCM of 52,31,154 is 124124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,769,507

GCF of Fractions 21/52,769/31,507/154 is 1/124124

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

Greatest Common Factor of 21,769,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,769,507 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 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 21,769,507 . The biggest common factor number is the GCF number.
So the greatest common factor 21,769,507 is 1.

Lets's calculate LCM of 52,31,154

2 52, 31, 154
26, 31, 77

∴ So the LCM of the given numbers is 2 x 26 x 31 x 77 = 124124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124124

Therefore, the GCF of Fractions 21/52,769/31,507/154 is 1/124124

Least Common Multiple of 52,31,154 with GCF Formula

Least Common Multiple of 52,31,154 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 52,31,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,31,154) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,31,154) x common factors =1 x 2 = 2

LCM(52,31,154) = ( 52 × 31 × 154 ) / 2

LCM(52,31,154) = 248248 / 2

LCM(52,31,154) = 124124


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 21/52, 769/31, 507/154

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 21/52, 769/31, 507/154?

Answer: GCF of Numerators as per given numbers 21/52, 769/31, 507/154 is

GCF of Numerators i.e. for 21,769,507 is 1

LCM of denominators i.e. for 52,31,154 is 124124.

Thus, GCF of Fractions is 1/124124.Finally, GCF of Fractions for 21/52, 769/31, 507/154 is 1/124124.