Greatest Common Factor of 279/338, 500/894, 117/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 279/338, 500/894, 117/180

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 279/338,500/894,117/180

Given fractions are 279/338,500/894,117/180

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 279,500,117

Greatest Common Factor of Numerators i.e. GCF of 279,500,117 is 1 .

LCM of Denominators means LCM of 338,894,180 as per the given fractions.

LCM of 338,894,180 is 4532580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 279,500,117

GCF of Fractions 279/338,500/894,117/180 is 1/4532580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 279,500,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,500,117 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 279,500,117 . The biggest common factor number is the GCF number.
So the greatest common factor 279,500,117 is 1.

Lets's calculate LCM of 338,894,180

2 338, 894, 180
3 169, 447, 90
169, 149, 30

∴ So the LCM of the given numbers is 2 x 3 x 169 x 149 x 30 = 4532580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4532580

Therefore, the GCF of Fractions 279/338,500/894,117/180 is 1/4532580

Least Common Multiple of 338,894,180 with GCF Formula

Least Common Multiple of 338,894,180 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 338,894,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,894,180) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(338,894,180) x common factors =2 x 6 = 12

LCM(338,894,180) = ( 338 × 894 × 180 ) / 12

LCM(338,894,180) = 54390960 / 12

LCM(338,894,180) = 4532580


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 279/338, 500/894, 117/180

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 279/338, 500/894, 117/180?

Answer: GCF of Numerators as per given numbers 279/338, 500/894, 117/180 is

GCF of Numerators i.e. for 279,500,117 is 1

LCM of denominators i.e. for 338,894,180 is 4532580.

Thus, GCF of Fractions is 1/4532580.Finally, GCF of Fractions for 279/338, 500/894, 117/180 is 1/4532580.