Greatest Common Factor of 213/76, 568/87, 428/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/76, 568/87, 428/638

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 213/76,568/87,428/638

Given fractions are 213/76,568/87,428/638

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 213,568,428

Greatest Common Factor of Numerators i.e. GCF of 213,568,428 is 1 .

LCM of Denominators means LCM of 76,87,638 as per the given fractions.

LCM of 76,87,638 is 72732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,568,428

GCF of Fractions 213/76,568/87,428/638 is 1/72732

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

Greatest Common Factor of 213,568,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,568,428 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 213,568,428 . The biggest common factor number is the GCF number.
So the greatest common factor 213,568,428 is 1.

Lets's calculate LCM of 76,87,638

2 76, 87, 638
29 38, 87, 319
38, 3, 11

∴ So the LCM of the given numbers is 2 x 29 x 38 x 3 x 11 = 72732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72732

Therefore, the GCF of Fractions 213/76,568/87,428/638 is 1/72732

Least Common Multiple of 76,87,638 with GCF Formula

Least Common Multiple of 76,87,638 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 76,87,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,87,638) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(76,87,638) x common factors =1 x 58 = 58

LCM(76,87,638) = ( 76 × 87 × 638 ) / 58

LCM(76,87,638) = 4218456 / 58

LCM(76,87,638) = 72732


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 213/76, 568/87, 428/638

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 213/76, 568/87, 428/638?

Answer: GCF of Numerators as per given numbers 213/76, 568/87, 428/638 is

GCF of Numerators i.e. for 213,568,428 is 1

LCM of denominators i.e. for 76,87,638 is 72732.

Thus, GCF of Fractions is 1/72732.Finally, GCF of Fractions for 213/76, 568/87, 428/638 is 1/72732.