Greatest Common Factor of 3109/36, 4118/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3109/36, 4118/536

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 3109/36,4118/536

Given fractions are 3109/36,4118/536

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 3109,4118

Greatest Common Factor of Numerators i.e. GCF of 3109,4118 is 1 .

LCM of Denominators means LCM of 36,536 as per the given fractions.

LCM of 36,536 is 4824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3109,4118

GCF of Fractions 3109/36,4118/536 is 1/4824

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3109,4118 By Matching Biggest Common Factor Method

Greatest Common Factor of 3109,4118 By Matching Biggest Common Factor Method

Factors of 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1,3109

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1,2,29,58,71,142,2059,4118

Greatest Common Factor

We found the factors 3109,4118 . The biggest common factor number is the GCF number.
So the greatest common factor 3109,4118 is 1.

Lets's calculate LCM of 36,536

2 36, 536
2 18, 268
9, 134

∴ So the LCM of the given numbers is 2 x 2 x 9 x 134 = 4824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4824

Therefore, the GCF of Fractions 3109/36,4118/536 is 1/4824

Least Common Multiple of 36,536 with GCF Formula

Least Common Multiple of 36,536 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 36,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,536) = 4

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

GCF(36,536) x common factors =4 x 1 = 4

LCM(36,536) = ( 36 × 536 ) / 4

LCM(36,536) = 19296 / 4

LCM(36,536) = 4824


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 3109/36, 4118/536

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 3109/36, 4118/536?

Answer: GCF of Numerators as per given numbers 3109/36, 4118/536 is

GCF of Numerators i.e. for 3109,4118 is 1

LCM of denominators i.e. for 36,536 is 4824.

Thus, GCF of Fractions is 1/4824.Finally, GCF of Fractions for 3109/36, 4118/536 is 1/4824.