Greatest Common Factor of 324/724, 8978/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/724, 8978/882

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 324/724,8978/882

Given fractions are 324/724,8978/882

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 324,8978

Greatest Common Factor of Numerators i.e. GCF of 324,8978 is 2 .

LCM of Denominators means LCM of 724,882 as per the given fractions.

LCM of 724,882 is 319284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,8978

GCF of Fractions 324/724,8978/882 is 2/319284

2 324, 8978
162, 4489

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

Greatest Common Factor of 324,8978 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,8978 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 8978

List of positive integer factors of 8978 that divides 8978 without a remainder.

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors 324,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 324,8978 is 2.

Lets's calculate LCM of 724,882

2 724, 882
362, 441

∴ So the LCM of the given numbers is 2 x 362 x 441 = 319284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/319284

Therefore, the GCF of Fractions 324/724,8978/882 is 2/319284

Least Common Multiple of 724,882 with GCF Formula

Least Common Multiple of 724,882 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 724,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,882) = 2

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

GCF(724,882) x common factors =2 x 1 = 2

LCM(724,882) = ( 724 × 882 ) / 2

LCM(724,882) = 638568 / 2

LCM(724,882) = 319284


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 324/724, 8978/882

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 324/724, 8978/882?

Answer: GCF of Numerators as per given numbers 324/724, 8978/882 is

GCF of Numerators i.e. for 324,8978 is 2

LCM of denominators i.e. for 724,882 is 319284.

Thus, GCF of Fractions is 2/319284.Finally, GCF of Fractions for 324/724, 8978/882 is 2/319284.