Greatest Common Factor of 324/768, 7090/3141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/768, 7090/3141

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 324/768,7090/3141

Given fractions are 324/768,7090/3141

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 324,7090

Greatest Common Factor of Numerators i.e. GCF of 324,7090 is 2 .

LCM of Denominators means LCM of 768,3141 as per the given fractions.

LCM of 768,3141 is 804096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,7090

GCF of Fractions 324/768,7090/3141 is 2/804096

2 324, 7090
162, 3545

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 324,7090 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,7090 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Greatest Common Factor

We found the factors 324,7090 . The biggest common factor number is the GCF number.
So the greatest common factor 324,7090 is 2.

Lets's calculate LCM of 768,3141

3 768, 3141
256, 1047

∴ So the LCM of the given numbers is 3 x 256 x 1047 = 804096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/804096

Therefore, the GCF of Fractions 324/768,7090/3141 is 2/804096

Least Common Multiple of 768,3141 with GCF Formula

Least Common Multiple of 768,3141 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 768,3141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,3141) = 3

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

GCF(768,3141) x common factors =3 x 1 = 3

LCM(768,3141) = ( 768 × 3141 ) / 3

LCM(768,3141) = 2412288 / 3

LCM(768,3141) = 804096


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 324/768, 7090/3141

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 324/768, 7090/3141?

Answer: GCF of Numerators as per given numbers 324/768, 7090/3141 is

GCF of Numerators i.e. for 324,7090 is 2

LCM of denominators i.e. for 768,3141 is 804096.

Thus, GCF of Fractions is 2/804096.Finally, GCF of Fractions for 324/768, 7090/3141 is 2/804096.