Greatest Common Factor of 518/54, 414/7124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 518/54, 414/7124

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 518/54,414/7124

Given fractions are 518/54,414/7124

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 518,414

Greatest Common Factor of Numerators i.e. GCF of 518,414 is 2 .

LCM of Denominators means LCM of 54,7124 as per the given fractions.

LCM of 54,7124 is 192348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 518,414

GCF of Fractions 518/54,414/7124 is 2/192348

2 518, 414
259, 207

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

Greatest Common Factor of 518,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,414 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 518,414 . The biggest common factor number is the GCF number.
So the greatest common factor 518,414 is 2.

Lets's calculate LCM of 54,7124

2 54, 7124
27, 3562

∴ So the LCM of the given numbers is 2 x 27 x 3562 = 192348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192348

Therefore, the GCF of Fractions 518/54,414/7124 is 2/192348

Least Common Multiple of 54,7124 with GCF Formula

Least Common Multiple of 54,7124 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 54,7124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,7124) = 2

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

GCF(54,7124) x common factors =2 x 1 = 2

LCM(54,7124) = ( 54 × 7124 ) / 2

LCM(54,7124) = 384696 / 2

LCM(54,7124) = 192348


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 518/54, 414/7124

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 518/54, 414/7124?

Answer: GCF of Numerators as per given numbers 518/54, 414/7124 is

GCF of Numerators i.e. for 518,414 is 2

LCM of denominators i.e. for 54,7124 is 192348.

Thus, GCF of Fractions is 2/192348.Finally, GCF of Fractions for 518/54, 414/7124 is 2/192348.