Greatest Common Factor of 564/70, 405/54, 204/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/70, 405/54, 204/252

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 564/70,405/54,204/252

Given fractions are 564/70,405/54,204/252

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 564,405,204

Greatest Common Factor of Numerators i.e. GCF of 564,405,204 is 3 .

LCM of Denominators means LCM of 70,54,252 as per the given fractions.

LCM of 70,54,252 is 3780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,405,204

GCF of Fractions 564/70,405/54,204/252 is 3/3780

3 564, 405, 204
188, 135, 68

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

Greatest Common Factor of 564,405,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,405,204 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 564,405,204 . The biggest common factor number is the GCF number.
So the greatest common factor 564,405,204 is 3.

Lets's calculate LCM of 70,54,252

2 70, 54, 252
3 35, 27, 126
3 35, 9, 42
7 35, 3, 14
5, 3, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 3 x 2 = 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3780

Therefore, the GCF of Fractions 564/70,405/54,204/252 is 3/3780

Least Common Multiple of 70,54,252 with GCF Formula

Least Common Multiple of 70,54,252 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 70,54,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,54,252) = 2

common factors(in case of two or more numbers have common factors) = 126

GCF(70,54,252) x common factors =2 x 126 = 252

LCM(70,54,252) = ( 70 × 54 × 252 ) / 252

LCM(70,54,252) = 952560 / 252

LCM(70,54,252) = 3780


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 564/70, 405/54, 204/252

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 564/70, 405/54, 204/252?

Answer: GCF of Numerators as per given numbers 564/70, 405/54, 204/252 is

GCF of Numerators i.e. for 564,405,204 is 3

LCM of denominators i.e. for 70,54,252 is 3780.

Thus, GCF of Fractions is 3/3780.Finally, GCF of Fractions for 564/70, 405/54, 204/252 is 3/3780.