Greatest Common Factor of 5676/366, 8582/1364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5676/366, 8582/1364

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 5676/366,8582/1364

Given fractions are 5676/366,8582/1364

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 5676,8582

Greatest Common Factor of Numerators i.e. GCF of 5676,8582 is 2 .

LCM of Denominators means LCM of 366,1364 as per the given fractions.

LCM of 366,1364 is 249612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5676,8582

GCF of Fractions 5676/366,8582/1364 is 2/249612

2 5676, 8582
2838, 4291

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

Greatest Common Factor of 5676,8582 By Matching Biggest Common Factor Method

Greatest Common Factor of 5676,8582 By Matching Biggest Common Factor Method

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Greatest Common Factor

We found the factors 5676,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 5676,8582 is 2.

Lets's calculate LCM of 366,1364

2 366, 1364
183, 682

∴ So the LCM of the given numbers is 2 x 183 x 682 = 249612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249612

Therefore, the GCF of Fractions 5676/366,8582/1364 is 2/249612

Least Common Multiple of 366,1364 with GCF Formula

Least Common Multiple of 366,1364 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 366,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,1364) = 2

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

GCF(366,1364) x common factors =2 x 1 = 2

LCM(366,1364) = ( 366 × 1364 ) / 2

LCM(366,1364) = 499224 / 2

LCM(366,1364) = 249612


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 5676/366, 8582/1364

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 5676/366, 8582/1364?

Answer: GCF of Numerators as per given numbers 5676/366, 8582/1364 is

GCF of Numerators i.e. for 5676,8582 is 2

LCM of denominators i.e. for 366,1364 is 249612.

Thus, GCF of Fractions is 2/249612.Finally, GCF of Fractions for 5676/366, 8582/1364 is 2/249612.