Greatest Common Factor of 5304/75, 6330/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5304/75, 6330/496

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 5304/75,6330/496

Given fractions are 5304/75,6330/496

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 5304,6330

Greatest Common Factor of Numerators i.e. GCF of 5304,6330 is 6 .

LCM of Denominators means LCM of 75,496 as per the given fractions.

LCM of 75,496 is 37200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5304,6330

GCF of Fractions 5304/75,6330/496 is 6/37200

2 5304, 6330
3 2652, 3165
884, 1055

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5304,6330 By Matching Biggest Common Factor Method

Greatest Common Factor of 5304,6330 By Matching Biggest Common Factor Method

Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330

Greatest Common Factor

We found the factors 5304,6330 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,6330 is 6.

Lets's calculate LCM of 75,496

Given numbers has no common factors except 1. So, there LCM is their product i.e 37200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/37200

Therefore, the GCF of Fractions 5304/75,6330/496 is 6/37200

Least Common Multiple of 75,496 with GCF Formula

Least Common Multiple of 75,496 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 75,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,496) = 1

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

GCF(75,496) x common factors =1 x 1 = 1

LCM(75,496) = ( 75 × 496 ) / 1

LCM(75,496) = 37200 / 1

LCM(75,496) = 37200


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 5304/75, 6330/496

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 5304/75, 6330/496?

Answer: GCF of Numerators as per given numbers 5304/75, 6330/496 is

GCF of Numerators i.e. for 5304,6330 is 6

LCM of denominators i.e. for 75,496 is 37200.

Thus, GCF of Fractions is 6/37200.Finally, GCF of Fractions for 5304/75, 6330/496 is 6/37200.