Greatest Common Factor of 108/84, 114/98, 264/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 108/84, 114/98, 264/13

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 108/84,114/98,264/13

Given fractions are 108/84,114/98,264/13

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 108,114,264

Greatest Common Factor of Numerators i.e. GCF of 108,114,264 is 6 .

LCM of Denominators means LCM of 84,98,13 as per the given fractions.

LCM of 84,98,13 is 7644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,114,264

GCF of Fractions 108/84,114/98,264/13 is 6/7644

2 108, 114, 264
3 54, 57, 132
18, 19, 44

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 108,114,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,114,264 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 108,114,264 . The biggest common factor number is the GCF number.
So the greatest common factor 108,114,264 is 6.

Lets's calculate LCM of 84,98,13

2 84, 98, 13
7 42, 49, 13
6, 7, 13

∴ So the LCM of the given numbers is 2 x 7 x 6 x 7 x 13 = 7644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7644

Therefore, the GCF of Fractions 108/84,114/98,264/13 is 6/7644

Least Common Multiple of 84,98,13 with GCF Formula

Least Common Multiple of 84,98,13 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 84,98,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,98,13) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(84,98,13) x common factors =1 x 14 = 14

LCM(84,98,13) = ( 84 × 98 × 13 ) / 14

LCM(84,98,13) = 107016 / 14

LCM(84,98,13) = 7644


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 108/84, 114/98, 264/13

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 108/84, 114/98, 264/13?

Answer: GCF of Numerators as per given numbers 108/84, 114/98, 264/13 is

GCF of Numerators i.e. for 108,114,264 is 6

LCM of denominators i.e. for 84,98,13 is 7644.

Thus, GCF of Fractions is 6/7644.Finally, GCF of Fractions for 108/84, 114/98, 264/13 is 6/7644.