Greatest Common Factor of 328/584, 7122/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/584, 7122/908

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 328/584,7122/908

Given fractions are 328/584,7122/908

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 328,7122

Greatest Common Factor of Numerators i.e. GCF of 328,7122 is 2 .

LCM of Denominators means LCM of 584,908 as per the given fractions.

LCM of 584,908 is 132568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,7122

GCF of Fractions 328/584,7122/908 is 2/132568

2 328, 7122
164, 3561

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

Greatest Common Factor of 328,7122 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,7122 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1,2,3,6,1187,2374,3561,7122

Greatest Common Factor

We found the factors 328,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 328,7122 is 2.

Lets's calculate LCM of 584,908

2 584, 908
2 292, 454
146, 227

∴ So the LCM of the given numbers is 2 x 2 x 146 x 227 = 132568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132568

Therefore, the GCF of Fractions 328/584,7122/908 is 2/132568

Least Common Multiple of 584,908 with GCF Formula

Least Common Multiple of 584,908 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 584,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,908) = 4

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

GCF(584,908) x common factors =4 x 1 = 4

LCM(584,908) = ( 584 × 908 ) / 4

LCM(584,908) = 530272 / 4

LCM(584,908) = 132568


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 328/584, 7122/908

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 328/584, 7122/908?

Answer: GCF of Numerators as per given numbers 328/584, 7122/908 is

GCF of Numerators i.e. for 328,7122 is 2

LCM of denominators i.e. for 584,908 is 132568.

Thus, GCF of Fractions is 2/132568.Finally, GCF of Fractions for 328/584, 7122/908 is 2/132568.