Greatest Common Factor of 8824/391, 4676/4544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8824/391, 4676/4544

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 8824/391,4676/4544

Given fractions are 8824/391,4676/4544

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 8824,4676

Greatest Common Factor of Numerators i.e. GCF of 8824,4676 is 4 .

LCM of Denominators means LCM of 391,4544 as per the given fractions.

LCM of 391,4544 is 1776704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8824,4676

GCF of Fractions 8824/391,4676/4544 is 4/1776704

2 8824, 4676
2 4412, 2338
2206, 1169

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8824,4676 By Matching Biggest Common Factor Method

Greatest Common Factor of 8824,4676 By Matching Biggest Common Factor Method

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1,2,4,8,1103,2206,4412,8824

Factors of 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1,2,4,7,14,28,167,334,668,1169,2338,4676

Greatest Common Factor

We found the factors 8824,4676 . The biggest common factor number is the GCF number.
So the greatest common factor 8824,4676 is 4.

Lets's calculate LCM of 391,4544

Given numbers has no common factors except 1. So, there LCM is their product i.e 1776704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1776704

Therefore, the GCF of Fractions 8824/391,4676/4544 is 4/1776704

Least Common Multiple of 391,4544 with GCF Formula

Least Common Multiple of 391,4544 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 391,4544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,4544) = 1

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

GCF(391,4544) x common factors =1 x 1 = 1

LCM(391,4544) = ( 391 × 4544 ) / 1

LCM(391,4544) = 1776704 / 1

LCM(391,4544) = 1776704


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 8824/391, 4676/4544

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 8824/391, 4676/4544?

Answer: GCF of Numerators as per given numbers 8824/391, 4676/4544 is

GCF of Numerators i.e. for 8824,4676 is 4

LCM of denominators i.e. for 391,4544 is 1776704.

Thus, GCF of Fractions is 4/1776704.Finally, GCF of Fractions for 8824/391, 4676/4544 is 4/1776704.