Greatest Common Factor of 868/532, 7746/5686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/532, 7746/5686

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 868/532,7746/5686

Given fractions are 868/532,7746/5686

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 868,7746

Greatest Common Factor of Numerators i.e. GCF of 868,7746 is 2 .

LCM of Denominators means LCM of 532,5686 as per the given fractions.

LCM of 532,5686 is 1512476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,7746

GCF of Fractions 868/532,7746/5686 is 2/1512476

2 868, 7746
434, 3873

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 868,7746 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,7746 By Matching Biggest Common Factor Method

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

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1,2,3,6,1291,2582,3873,7746

Greatest Common Factor

We found the factors 868,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 868,7746 is 2.

Lets's calculate LCM of 532,5686

2 532, 5686
266, 2843

∴ So the LCM of the given numbers is 2 x 266 x 2843 = 1512476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1512476

Therefore, the GCF of Fractions 868/532,7746/5686 is 2/1512476

Least Common Multiple of 532,5686 with GCF Formula

Least Common Multiple of 532,5686 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 532,5686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,5686) = 2

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

GCF(532,5686) x common factors =2 x 1 = 2

LCM(532,5686) = ( 532 × 5686 ) / 2

LCM(532,5686) = 3024952 / 2

LCM(532,5686) = 1512476


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 868/532, 7746/5686

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 868/532, 7746/5686?

Answer: GCF of Numerators as per given numbers 868/532, 7746/5686 is

GCF of Numerators i.e. for 868,7746 is 2

LCM of denominators i.e. for 532,5686 is 1512476.

Thus, GCF of Fractions is 2/1512476.Finally, GCF of Fractions for 868/532, 7746/5686 is 2/1512476.