Greatest Common Factor of 2943/584, 9582/5222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2943/584, 9582/5222

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 2943/584,9582/5222

Given fractions are 2943/584,9582/5222

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 2943,9582

Greatest Common Factor of Numerators i.e. GCF of 2943,9582 is 3 .

LCM of Denominators means LCM of 584,5222 as per the given fractions.

LCM of 584,5222 is 1524824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2943,9582

GCF of Fractions 2943/584,9582/5222 is 3/1524824

3 2943, 9582
981, 3194

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

Greatest Common Factor of 2943,9582 By Matching Biggest Common Factor Method

Greatest Common Factor of 2943,9582 By Matching Biggest Common Factor Method

Factors of 2943

List of positive integer factors of 2943 that divides 2943 without a remainder.

1,3,9,27,109,327,981,2943

Factors of 9582

List of positive integer factors of 9582 that divides 9582 without a remainder.

1,2,3,6,1597,3194,4791,9582

Greatest Common Factor

We found the factors 2943,9582 . The biggest common factor number is the GCF number.
So the greatest common factor 2943,9582 is 3.

Lets's calculate LCM of 584,5222

2 584, 5222
292, 2611

∴ So the LCM of the given numbers is 2 x 292 x 2611 = 1524824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1524824

Therefore, the GCF of Fractions 2943/584,9582/5222 is 3/1524824

Least Common Multiple of 584,5222 with GCF Formula

Least Common Multiple of 584,5222 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 584,5222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,5222) = 2

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

GCF(584,5222) x common factors =2 x 1 = 2

LCM(584,5222) = ( 584 × 5222 ) / 2

LCM(584,5222) = 3049648 / 2

LCM(584,5222) = 1524824


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 2943/584, 9582/5222

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 2943/584, 9582/5222?

Answer: GCF of Numerators as per given numbers 2943/584, 9582/5222 is

GCF of Numerators i.e. for 2943,9582 is 3

LCM of denominators i.e. for 584,5222 is 1524824.

Thus, GCF of Fractions is 3/1524824.Finally, GCF of Fractions for 2943/584, 9582/5222 is 3/1524824.