Greatest Common Factor of 8520/129, 2636/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8520/129, 2636/481

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 8520/129,2636/481

Given fractions are 8520/129,2636/481

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 8520,2636

Greatest Common Factor of Numerators i.e. GCF of 8520,2636 is 4 .

LCM of Denominators means LCM of 129,481 as per the given fractions.

LCM of 129,481 is 62049 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8520,2636

GCF of Fractions 8520/129,2636/481 is 4/62049

2 8520, 2636
2 4260, 1318
2130, 659

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8520,2636 By Matching Biggest Common Factor Method

Greatest Common Factor of 8520,2636 By Matching Biggest Common Factor Method

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520

Factors of 2636

List of positive integer factors of 2636 that divides 2636 without a remainder.

1,2,4,659,1318,2636

Greatest Common Factor

We found the factors 8520,2636 . The biggest common factor number is the GCF number.
So the greatest common factor 8520,2636 is 4.

Lets's calculate LCM of 129,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 62049

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62049

Therefore, the GCF of Fractions 8520/129,2636/481 is 4/62049

Least Common Multiple of 129,481 with GCF Formula

Least Common Multiple of 129,481 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 129,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,481) = 1

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

GCF(129,481) x common factors =1 x 1 = 1

LCM(129,481) = ( 129 × 481 ) / 1

LCM(129,481) = 62049 / 1

LCM(129,481) = 62049


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 8520/129, 2636/481

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 8520/129, 2636/481?

Answer: GCF of Numerators as per given numbers 8520/129, 2636/481 is

GCF of Numerators i.e. for 8520,2636 is 4

LCM of denominators i.e. for 129,481 is 62049.

Thus, GCF of Fractions is 4/62049.Finally, GCF of Fractions for 8520/129, 2636/481 is 4/62049.