Greatest Common Factor of 520/81, 559/8934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/81, 559/8934

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 520/81,559/8934

Given fractions are 520/81,559/8934

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 520,559

Greatest Common Factor of Numerators i.e. GCF of 520,559 is 13 .

LCM of Denominators means LCM of 81,8934 as per the given fractions.

LCM of 81,8934 is 241218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,559

GCF of Fractions 520/81,559/8934 is 13/241218

13 520, 559
40, 43

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 520,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,559 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 520,559 . The biggest common factor number is the GCF number.
So the greatest common factor 520,559 is 13.

Lets's calculate LCM of 81,8934

3 81, 8934
27, 2978

∴ So the LCM of the given numbers is 3 x 27 x 2978 = 241218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/241218

Therefore, the GCF of Fractions 520/81,559/8934 is 13/241218

Least Common Multiple of 81,8934 with GCF Formula

Least Common Multiple of 81,8934 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 81,8934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,8934) = 3

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

GCF(81,8934) x common factors =3 x 1 = 3

LCM(81,8934) = ( 81 × 8934 ) / 3

LCM(81,8934) = 723654 / 3

LCM(81,8934) = 241218


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 520/81, 559/8934

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 520/81, 559/8934?

Answer: GCF of Numerators as per given numbers 520/81, 559/8934 is

GCF of Numerators i.e. for 520,559 is 13

LCM of denominators i.e. for 81,8934 is 241218.

Thus, GCF of Fractions is 13/241218.Finally, GCF of Fractions for 520/81, 559/8934 is 13/241218.