Greatest Common Factor of 13/26, 977/63, 868/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/26, 977/63, 868/472

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 13/26,977/63,868/472

Given fractions are 13/26,977/63,868/472

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 13,977,868

Greatest Common Factor of Numerators i.e. GCF of 13,977,868 is 1 .

LCM of Denominators means LCM of 26,63,472 as per the given fractions.

LCM of 26,63,472 is 386568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,977,868

GCF of Fractions 13/26,977/63,868/472 is 1/386568

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

Greatest Common Factor of 13,977,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,977,868 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 13,977,868 . The biggest common factor number is the GCF number.
So the greatest common factor 13,977,868 is 1.

Lets's calculate LCM of 26,63,472

2 26, 63, 472
13, 63, 236

∴ So the LCM of the given numbers is 2 x 13 x 63 x 236 = 386568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386568

Therefore, the GCF of Fractions 13/26,977/63,868/472 is 1/386568

Least Common Multiple of 26,63,472 with GCF Formula

Least Common Multiple of 26,63,472 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 26,63,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,63,472) = 1

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

GCF(26,63,472) x common factors =1 x 2 = 2

LCM(26,63,472) = ( 26 × 63 × 472 ) / 2

LCM(26,63,472) = 773136 / 2

LCM(26,63,472) = 386568


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 13/26, 977/63, 868/472

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 13/26, 977/63, 868/472?

Answer: GCF of Numerators as per given numbers 13/26, 977/63, 868/472 is

GCF of Numerators i.e. for 13,977,868 is 1

LCM of denominators i.e. for 26,63,472 is 386568.

Thus, GCF of Fractions is 1/386568.Finally, GCF of Fractions for 13/26, 977/63, 868/472 is 1/386568.