Greatest Common Factor of 590/79, 6431/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 590/79, 6431/518

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 590/79,6431/518

Given fractions are 590/79,6431/518

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 590,6431

Greatest Common Factor of Numerators i.e. GCF of 590,6431 is 59 .

LCM of Denominators means LCM of 79,518 as per the given fractions.

LCM of 79,518 is 40922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 590,6431

GCF of Fractions 590/79,6431/518 is 59/40922

59 590, 6431
10, 109

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 590,6431 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,6431 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 6431

List of positive integer factors of 6431 that divides 6431 without a remainder.

1,59,109,6431

Greatest Common Factor

We found the factors 590,6431 . The biggest common factor number is the GCF number.
So the greatest common factor 590,6431 is 59.

Lets's calculate LCM of 79,518

Given numbers has no common factors except 1. So, there LCM is their product i.e 40922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/40922

Therefore, the GCF of Fractions 590/79,6431/518 is 59/40922

Least Common Multiple of 79,518 with GCF Formula

Least Common Multiple of 79,518 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 79,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,518) = 1

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

GCF(79,518) x common factors =1 x 1 = 1

LCM(79,518) = ( 79 × 518 ) / 1

LCM(79,518) = 40922 / 1

LCM(79,518) = 40922


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 590/79, 6431/518

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 590/79, 6431/518?

Answer: GCF of Numerators as per given numbers 590/79, 6431/518 is

GCF of Numerators i.e. for 590,6431 is 59

LCM of denominators i.e. for 79,518 is 40922.

Thus, GCF of Fractions is 59/40922.Finally, GCF of Fractions for 590/79, 6431/518 is 59/40922.