Greatest Common Factor of 5439/44, 2114/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5439/44, 2114/270

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 5439/44,2114/270

Given fractions are 5439/44,2114/270

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 5439,2114

Greatest Common Factor of Numerators i.e. GCF of 5439,2114 is 7 .

LCM of Denominators means LCM of 44,270 as per the given fractions.

LCM of 44,270 is 5940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5439,2114

GCF of Fractions 5439/44,2114/270 is 7/5940

7 5439, 2114
777, 302

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5439,2114 By Matching Biggest Common Factor Method

Greatest Common Factor of 5439,2114 By Matching Biggest Common Factor Method

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Factors of 2114

List of positive integer factors of 2114 that divides 2114 without a remainder.

1,2,7,14,151,302,1057,2114

Greatest Common Factor

We found the factors 5439,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,2114 is 7.

Lets's calculate LCM of 44,270

2 44, 270
22, 135

∴ So the LCM of the given numbers is 2 x 22 x 135 = 5940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5940

Therefore, the GCF of Fractions 5439/44,2114/270 is 7/5940

Least Common Multiple of 44,270 with GCF Formula

Least Common Multiple of 44,270 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 44,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,270) = 2

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

GCF(44,270) x common factors =2 x 1 = 2

LCM(44,270) = ( 44 × 270 ) / 2

LCM(44,270) = 11880 / 2

LCM(44,270) = 5940


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 5439/44, 2114/270

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 5439/44, 2114/270?

Answer: GCF of Numerators as per given numbers 5439/44, 2114/270 is

GCF of Numerators i.e. for 5439,2114 is 7

LCM of denominators i.e. for 44,270 is 5940.

Thus, GCF of Fractions is 7/5940.Finally, GCF of Fractions for 5439/44, 2114/270 is 7/5940.