Greatest Common Factor of 804/72, 564/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/72, 564/111

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 804/72,564/111

Given fractions are 804/72,564/111

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 804,564

Greatest Common Factor of Numerators i.e. GCF of 804,564 is 12 .

LCM of Denominators means LCM of 72,111 as per the given fractions.

LCM of 72,111 is 2664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,564

GCF of Fractions 804/72,564/111 is 12/2664

2 804, 564
2 402, 282
3 201, 141
67, 47

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 804,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,564 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

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

Greatest Common Factor

We found the factors 804,564 . The biggest common factor number is the GCF number.
So the greatest common factor 804,564 is 12.

Lets's calculate LCM of 72,111

3 72, 111
24, 37

∴ So the LCM of the given numbers is 3 x 24 x 37 = 2664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2664

Therefore, the GCF of Fractions 804/72,564/111 is 12/2664

Least Common Multiple of 72,111 with GCF Formula

Least Common Multiple of 72,111 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 72,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,111) = 3

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

GCF(72,111) x common factors =3 x 1 = 3

LCM(72,111) = ( 72 × 111 ) / 3

LCM(72,111) = 7992 / 3

LCM(72,111) = 2664


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 804/72, 564/111

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 804/72, 564/111?

Answer: GCF of Numerators as per given numbers 804/72, 564/111 is

GCF of Numerators i.e. for 804,564 is 12

LCM of denominators i.e. for 72,111 is 2664.

Thus, GCF of Fractions is 12/2664.Finally, GCF of Fractions for 804/72, 564/111 is 12/2664.