Greatest Common Factor of 9216/72, 6759/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9216/72, 6759/604

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 9216/72,6759/604

Given fractions are 9216/72,6759/604

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 9216,6759

Greatest Common Factor of Numerators i.e. GCF of 9216,6759 is 9 .

LCM of Denominators means LCM of 72,604 as per the given fractions.

LCM of 72,604 is 10872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9216,6759

GCF of Fractions 9216/72,6759/604 is 9/10872

3 9216, 6759
3 3072, 2253
1024, 751

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

Greatest Common Factor of 9216,6759 By Matching Biggest Common Factor Method

Greatest Common Factor of 9216,6759 By Matching Biggest Common Factor Method

Factors of 9216

List of positive integer factors of 9216 that divides 9216 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216

Factors of 6759

List of positive integer factors of 6759 that divides 6759 without a remainder.

1,3,9,751,2253,6759

Greatest Common Factor

We found the factors 9216,6759 . The biggest common factor number is the GCF number.
So the greatest common factor 9216,6759 is 9.

Lets's calculate LCM of 72,604

2 72, 604
2 36, 302
18, 151

∴ So the LCM of the given numbers is 2 x 2 x 18 x 151 = 10872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/10872

Therefore, the GCF of Fractions 9216/72,6759/604 is 9/10872

Least Common Multiple of 72,604 with GCF Formula

Least Common Multiple of 72,604 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 72,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,604) = 4

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

GCF(72,604) x common factors =4 x 1 = 4

LCM(72,604) = ( 72 × 604 ) / 4

LCM(72,604) = 43488 / 4

LCM(72,604) = 10872


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 9216/72, 6759/604

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 9216/72, 6759/604?

Answer: GCF of Numerators as per given numbers 9216/72, 6759/604 is

GCF of Numerators i.e. for 9216,6759 is 9

LCM of denominators i.e. for 72,604 is 10872.

Thus, GCF of Fractions is 9/10872.Finally, GCF of Fractions for 9216/72, 6759/604 is 9/10872.