Greatest Common Factor of 5334/507, 7614/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5334/507, 7614/489

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 5334/507,7614/489

Given fractions are 5334/507,7614/489

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 5334,7614

Greatest Common Factor of Numerators i.e. GCF of 5334,7614 is 6 .

LCM of Denominators means LCM of 507,489 as per the given fractions.

LCM of 507,489 is 82641 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5334,7614

GCF of Fractions 5334/507,7614/489 is 6/82641

2 5334, 7614
3 2667, 3807
889, 1269

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

Greatest Common Factor of 5334,7614 By Matching Biggest Common Factor Method

Greatest Common Factor of 5334,7614 By Matching Biggest Common Factor Method

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614

Greatest Common Factor

We found the factors 5334,7614 . The biggest common factor number is the GCF number.
So the greatest common factor 5334,7614 is 6.

Lets's calculate LCM of 507,489

3 507, 489
169, 163

∴ So the LCM of the given numbers is 3 x 169 x 163 = 82641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/82641

Therefore, the GCF of Fractions 5334/507,7614/489 is 6/82641

Least Common Multiple of 507,489 with GCF Formula

Least Common Multiple of 507,489 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 507,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,489) = 3

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

GCF(507,489) x common factors =3 x 1 = 3

LCM(507,489) = ( 507 × 489 ) / 3

LCM(507,489) = 247923 / 3

LCM(507,489) = 82641


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 5334/507, 7614/489

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 5334/507, 7614/489?

Answer: GCF of Numerators as per given numbers 5334/507, 7614/489 is

GCF of Numerators i.e. for 5334,7614 is 6

LCM of denominators i.e. for 507,489 is 82641.

Thus, GCF of Fractions is 6/82641.Finally, GCF of Fractions for 5334/507, 7614/489 is 6/82641.