Greatest Common Factor of 579/213, 158/780, 530/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/213, 158/780, 530/239

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 579/213,158/780,530/239

Given fractions are 579/213,158/780,530/239

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 579,158,530

Greatest Common Factor of Numerators i.e. GCF of 579,158,530 is 1 .

LCM of Denominators means LCM of 213,780,239 as per the given fractions.

LCM of 213,780,239 is 13235820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,158,530

GCF of Fractions 579/213,158/780,530/239 is 1/13235820

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

Greatest Common Factor of 579,158,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,158,530 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 579,158,530 . The biggest common factor number is the GCF number.
So the greatest common factor 579,158,530 is 1.

Lets's calculate LCM of 213,780,239

3 213, 780, 239
71, 260, 239

∴ So the LCM of the given numbers is 3 x 71 x 260 x 239 = 13235820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13235820

Therefore, the GCF of Fractions 579/213,158/780,530/239 is 1/13235820

Least Common Multiple of 213,780,239 with GCF Formula

Least Common Multiple of 213,780,239 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 213,780,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,780,239) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(213,780,239) x common factors =1 x 3 = 3

LCM(213,780,239) = ( 213 × 780 × 239 ) / 3

LCM(213,780,239) = 39707460 / 3

LCM(213,780,239) = 13235820


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 579/213, 158/780, 530/239

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 579/213, 158/780, 530/239?

Answer: GCF of Numerators as per given numbers 579/213, 158/780, 530/239 is

GCF of Numerators i.e. for 579,158,530 is 1

LCM of denominators i.e. for 213,780,239 is 13235820.

Thus, GCF of Fractions is 1/13235820.Finally, GCF of Fractions for 579/213, 158/780, 530/239 is 1/13235820.