Greatest Common Factor of 4398/52, 8361/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4398/52, 8361/118

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 4398/52,8361/118

Given fractions are 4398/52,8361/118

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 4398,8361

Greatest Common Factor of Numerators i.e. GCF of 4398,8361 is 3 .

LCM of Denominators means LCM of 52,118 as per the given fractions.

LCM of 52,118 is 3068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4398,8361

GCF of Fractions 4398/52,8361/118 is 3/3068

3 4398, 8361
1466, 2787

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4398,8361 By Matching Biggest Common Factor Method

Greatest Common Factor of 4398,8361 By Matching Biggest Common Factor Method

Factors of 4398

List of positive integer factors of 4398 that divides 4398 without a remainder.

1,2,3,6,733,1466,2199,4398

Factors of 8361

List of positive integer factors of 8361 that divides 8361 without a remainder.

1,3,9,929,2787,8361

Greatest Common Factor

We found the factors 4398,8361 . The biggest common factor number is the GCF number.
So the greatest common factor 4398,8361 is 3.

Lets's calculate LCM of 52,118

2 52, 118
26, 59

∴ So the LCM of the given numbers is 2 x 26 x 59 = 3068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3068

Therefore, the GCF of Fractions 4398/52,8361/118 is 3/3068

Least Common Multiple of 52,118 with GCF Formula

Least Common Multiple of 52,118 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 52,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,118) = 2

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

GCF(52,118) x common factors =2 x 1 = 2

LCM(52,118) = ( 52 × 118 ) / 2

LCM(52,118) = 6136 / 2

LCM(52,118) = 3068


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 4398/52, 8361/118

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 4398/52, 8361/118?

Answer: GCF of Numerators as per given numbers 4398/52, 8361/118 is

GCF of Numerators i.e. for 4398,8361 is 3

LCM of denominators i.e. for 52,118 is 3068.

Thus, GCF of Fractions is 3/3068.Finally, GCF of Fractions for 4398/52, 8361/118 is 3/3068.