Greatest Common Factor of 9144/929, 2793/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9144/929, 2793/684

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 9144/929,2793/684

Given fractions are 9144/929,2793/684

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 9144,2793

Greatest Common Factor of Numerators i.e. GCF of 9144,2793 is 3 .

LCM of Denominators means LCM of 929,684 as per the given fractions.

LCM of 929,684 is 635436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9144,2793

GCF of Fractions 9144/929,2793/684 is 3/635436

3 9144, 2793
3048, 931

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

Greatest Common Factor of 9144,2793 By Matching Biggest Common Factor Method

Greatest Common Factor of 9144,2793 By Matching Biggest Common Factor Method

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144

Factors of 2793

List of positive integer factors of 2793 that divides 2793 without a remainder.

1,3,7,19,21,49,57,133,147,399,931,2793

Greatest Common Factor

We found the factors 9144,2793 . The biggest common factor number is the GCF number.
So the greatest common factor 9144,2793 is 3.

Lets's calculate LCM of 929,684

Given numbers has no common factors except 1. So, there LCM is their product i.e 635436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/635436

Therefore, the GCF of Fractions 9144/929,2793/684 is 3/635436

Least Common Multiple of 929,684 with GCF Formula

Least Common Multiple of 929,684 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 929,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,684) = 1

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

GCF(929,684) x common factors =1 x 1 = 1

LCM(929,684) = ( 929 × 684 ) / 1

LCM(929,684) = 635436 / 1

LCM(929,684) = 635436


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 9144/929, 2793/684

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 9144/929, 2793/684?

Answer: GCF of Numerators as per given numbers 9144/929, 2793/684 is

GCF of Numerators i.e. for 9144,2793 is 3

LCM of denominators i.e. for 929,684 is 635436.

Thus, GCF of Fractions is 3/635436.Finally, GCF of Fractions for 9144/929, 2793/684 is 3/635436.