Greatest Common Factor of 544/519, 254/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/519, 254/126

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 544/519,254/126

Given fractions are 544/519,254/126

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 544,254

Greatest Common Factor of Numerators i.e. GCF of 544,254 is 2 .

LCM of Denominators means LCM of 519,126 as per the given fractions.

LCM of 519,126 is 21798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,254

GCF of Fractions 544/519,254/126 is 2/21798

2 544, 254
272, 127

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

Greatest Common Factor of 544,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,254 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 544,254 . The biggest common factor number is the GCF number.
So the greatest common factor 544,254 is 2.

Lets's calculate LCM of 519,126

3 519, 126
173, 42

∴ So the LCM of the given numbers is 3 x 173 x 42 = 21798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21798

Therefore, the GCF of Fractions 544/519,254/126 is 2/21798

Least Common Multiple of 519,126 with GCF Formula

Least Common Multiple of 519,126 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 519,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,126) = 3

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

GCF(519,126) x common factors =3 x 1 = 3

LCM(519,126) = ( 519 × 126 ) / 3

LCM(519,126) = 65394 / 3

LCM(519,126) = 21798


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 544/519, 254/126

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 544/519, 254/126?

Answer: GCF of Numerators as per given numbers 544/519, 254/126 is

GCF of Numerators i.e. for 544,254 is 2

LCM of denominators i.e. for 519,126 is 21798.

Thus, GCF of Fractions is 2/21798.Finally, GCF of Fractions for 544/519, 254/126 is 2/21798.