Greatest Common Factor of 6324/648, 3115/9297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6324/648, 3115/9297

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 6324/648,3115/9297

Given fractions are 6324/648,3115/9297

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 6324,3115

Greatest Common Factor of Numerators i.e. GCF of 6324,3115 is 1 .

LCM of Denominators means LCM of 648,9297 as per the given fractions.

LCM of 648,9297 is 669384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6324,3115

GCF of Fractions 6324/648,3115/9297 is 1/669384

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6324,3115 By Matching Biggest Common Factor Method

Greatest Common Factor of 6324,3115 By Matching Biggest Common Factor Method

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324

Factors of 3115

List of positive integer factors of 3115 that divides 3115 without a remainder.

1,5,7,35,89,445,623,3115

Greatest Common Factor

We found the factors 6324,3115 . The biggest common factor number is the GCF number.
So the greatest common factor 6324,3115 is 1.

Lets's calculate LCM of 648,9297

3 648, 9297
3 216, 3099
72, 1033

∴ So the LCM of the given numbers is 3 x 3 x 72 x 1033 = 669384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/669384

Therefore, the GCF of Fractions 6324/648,3115/9297 is 1/669384

Least Common Multiple of 648,9297 with GCF Formula

Least Common Multiple of 648,9297 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 648,9297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,9297) = 9

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

GCF(648,9297) x common factors =9 x 1 = 9

LCM(648,9297) = ( 648 × 9297 ) / 9

LCM(648,9297) = 6024456 / 9

LCM(648,9297) = 669384


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 6324/648, 3115/9297

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 6324/648, 3115/9297?

Answer: GCF of Numerators as per given numbers 6324/648, 3115/9297 is

GCF of Numerators i.e. for 6324,3115 is 1

LCM of denominators i.e. for 648,9297 is 669384.

Thus, GCF of Fractions is 1/669384.Finally, GCF of Fractions for 6324/648, 3115/9297 is 1/669384.