Greatest Common Factor of 116/660, 518/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 116/660, 518/341

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 116/660,518/341

Given fractions are 116/660,518/341

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 116,518

Greatest Common Factor of Numerators i.e. GCF of 116,518 is 2 .

LCM of Denominators means LCM of 660,341 as per the given fractions.

LCM of 660,341 is 20460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 116,518

GCF of Fractions 116/660,518/341 is 2/20460

2 116, 518
58, 259

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

Greatest Common Factor of 116,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,518 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 518

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

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

Greatest Common Factor

We found the factors 116,518 . The biggest common factor number is the GCF number.
So the greatest common factor 116,518 is 2.

Lets's calculate LCM of 660,341

11 660, 341
60, 31

∴ So the LCM of the given numbers is 11 x 60 x 31 = 20460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20460

Therefore, the GCF of Fractions 116/660,518/341 is 2/20460

Least Common Multiple of 660,341 with GCF Formula

Least Common Multiple of 660,341 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 660,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,341) = 11

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

GCF(660,341) x common factors =11 x 1 = 11

LCM(660,341) = ( 660 × 341 ) / 11

LCM(660,341) = 225060 / 11

LCM(660,341) = 20460


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 116/660, 518/341

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 116/660, 518/341?

Answer: GCF of Numerators as per given numbers 116/660, 518/341 is

GCF of Numerators i.e. for 116,518 is 2

LCM of denominators i.e. for 660,341 is 20460.

Thus, GCF of Fractions is 2/20460.Finally, GCF of Fractions for 116/660, 518/341 is 2/20460.