Greatest Common Factor of 567/21, 675/61, 801/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 567/21, 675/61, 801/540

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 567/21,675/61,801/540

Given fractions are 567/21,675/61,801/540

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 567,675,801

Greatest Common Factor of Numerators i.e. GCF of 567,675,801 is 9 .

LCM of Denominators means LCM of 21,61,540 as per the given fractions.

LCM of 21,61,540 is 230580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 567,675,801

GCF of Fractions 567/21,675/61,801/540 is 9/230580

3 567, 675, 801
3 189, 225, 267
63, 75, 89

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 567,675,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,675,801 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 567,675,801 . The biggest common factor number is the GCF number.
So the greatest common factor 567,675,801 is 9.

Lets's calculate LCM of 21,61,540

3 21, 61, 540
7, 61, 180

∴ So the LCM of the given numbers is 3 x 7 x 61 x 180 = 230580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/230580

Therefore, the GCF of Fractions 567/21,675/61,801/540 is 9/230580

Least Common Multiple of 21,61,540 with GCF Formula

Least Common Multiple of 21,61,540 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 21,61,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,61,540) = 1

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

GCF(21,61,540) x common factors =1 x 3 = 3

LCM(21,61,540) = ( 21 × 61 × 540 ) / 3

LCM(21,61,540) = 691740 / 3

LCM(21,61,540) = 230580


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 567/21, 675/61, 801/540

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 567/21, 675/61, 801/540?

Answer: GCF of Numerators as per given numbers 567/21, 675/61, 801/540 is

GCF of Numerators i.e. for 567,675,801 is 9

LCM of denominators i.e. for 21,61,540 is 230580.

Thus, GCF of Fractions is 9/230580.Finally, GCF of Fractions for 567/21, 675/61, 801/540 is 9/230580.