Greatest Common Factor of 5236/131, 8910/5014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5236/131, 8910/5014

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 5236/131,8910/5014

Given fractions are 5236/131,8910/5014

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 5236,8910

Greatest Common Factor of Numerators i.e. GCF of 5236,8910 is 22 .

LCM of Denominators means LCM of 131,5014 as per the given fractions.

LCM of 131,5014 is 656834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5236,8910

GCF of Fractions 5236/131,8910/5014 is 22/656834

2 5236, 8910
11 2618, 4455
238, 405

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 5236,8910 By Matching Biggest Common Factor Method

Greatest Common Factor of 5236,8910 By Matching Biggest Common Factor Method

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236

Factors of 8910

List of positive integer factors of 8910 that divides 8910 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910

Greatest Common Factor

We found the factors 5236,8910 . The biggest common factor number is the GCF number.
So the greatest common factor 5236,8910 is 22.

Lets's calculate LCM of 131,5014

Given numbers has no common factors except 1. So, there LCM is their product i.e 656834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/656834

Therefore, the GCF of Fractions 5236/131,8910/5014 is 22/656834

Least Common Multiple of 131,5014 with GCF Formula

Least Common Multiple of 131,5014 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 131,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,5014) = 1

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

GCF(131,5014) x common factors =1 x 1 = 1

LCM(131,5014) = ( 131 × 5014 ) / 1

LCM(131,5014) = 656834 / 1

LCM(131,5014) = 656834


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 5236/131, 8910/5014

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 5236/131, 8910/5014?

Answer: GCF of Numerators as per given numbers 5236/131, 8910/5014 is

GCF of Numerators i.e. for 5236,8910 is 22

LCM of denominators i.e. for 131,5014 is 656834.

Thus, GCF of Fractions is 22/656834.Finally, GCF of Fractions for 5236/131, 8910/5014 is 22/656834.