Greatest Common Factor of 4660/822, 5676/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4660/822, 5676/326

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 4660/822,5676/326

Given fractions are 4660/822,5676/326

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 4660,5676

Greatest Common Factor of Numerators i.e. GCF of 4660,5676 is 4 .

LCM of Denominators means LCM of 822,326 as per the given fractions.

LCM of 822,326 is 133986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4660,5676

GCF of Fractions 4660/822,5676/326 is 4/133986

2 4660, 5676
2 2330, 2838
1165, 1419

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

Greatest Common Factor of 4660,5676 By Matching Biggest Common Factor Method

Greatest Common Factor of 4660,5676 By Matching Biggest Common Factor Method

Factors of 4660

List of positive integer factors of 4660 that divides 4660 without a remainder.

1,2,4,5,10,20,233,466,932,1165,2330,4660

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

Greatest Common Factor

We found the factors 4660,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 4660,5676 is 4.

Lets's calculate LCM of 822,326

2 822, 326
411, 163

∴ So the LCM of the given numbers is 2 x 411 x 163 = 133986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/133986

Therefore, the GCF of Fractions 4660/822,5676/326 is 4/133986

Least Common Multiple of 822,326 with GCF Formula

Least Common Multiple of 822,326 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 822,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,326) = 2

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

GCF(822,326) x common factors =2 x 1 = 2

LCM(822,326) = ( 822 × 326 ) / 2

LCM(822,326) = 267972 / 2

LCM(822,326) = 133986


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 4660/822, 5676/326

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 4660/822, 5676/326?

Answer: GCF of Numerators as per given numbers 4660/822, 5676/326 is

GCF of Numerators i.e. for 4660,5676 is 4

LCM of denominators i.e. for 822,326 is 133986.

Thus, GCF of Fractions is 4/133986.Finally, GCF of Fractions for 4660/822, 5676/326 is 4/133986.