Greatest Common Factor of 5682/868, 7658/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5682/868, 7658/251

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 5682/868,7658/251

Given fractions are 5682/868,7658/251

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 5682,7658

Greatest Common Factor of Numerators i.e. GCF of 5682,7658 is 2 .

LCM of Denominators means LCM of 868,251 as per the given fractions.

LCM of 868,251 is 217868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5682,7658

GCF of Fractions 5682/868,7658/251 is 2/217868

2 5682, 7658
2841, 3829

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

Greatest Common Factor of 5682,7658 By Matching Biggest Common Factor Method

Greatest Common Factor of 5682,7658 By Matching Biggest Common Factor Method

Factors of 5682

List of positive integer factors of 5682 that divides 5682 without a remainder.

1,2,3,6,947,1894,2841,5682

Factors of 7658

List of positive integer factors of 7658 that divides 7658 without a remainder.

1,2,7,14,547,1094,3829,7658

Greatest Common Factor

We found the factors 5682,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 5682,7658 is 2.

Lets's calculate LCM of 868,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 217868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217868

Therefore, the GCF of Fractions 5682/868,7658/251 is 2/217868

Least Common Multiple of 868,251 with GCF Formula

Least Common Multiple of 868,251 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 868,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,251) = 1

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

GCF(868,251) x common factors =1 x 1 = 1

LCM(868,251) = ( 868 × 251 ) / 1

LCM(868,251) = 217868 / 1

LCM(868,251) = 217868


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 5682/868, 7658/251

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 5682/868, 7658/251?

Answer: GCF of Numerators as per given numbers 5682/868, 7658/251 is

GCF of Numerators i.e. for 5682,7658 is 2

LCM of denominators i.e. for 868,251 is 217868.

Thus, GCF of Fractions is 2/217868.Finally, GCF of Fractions for 5682/868, 7658/251 is 2/217868.