Greatest Common Factor of 6492/789, 5076/5427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6492/789, 5076/5427

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 6492/789,5076/5427

Given fractions are 6492/789,5076/5427

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 6492,5076

Greatest Common Factor of Numerators i.e. GCF of 6492,5076 is 12 .

LCM of Denominators means LCM of 789,5427 as per the given fractions.

LCM of 789,5427 is 1427301 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6492,5076

GCF of Fractions 6492/789,5076/5427 is 12/1427301

2 6492, 5076
2 3246, 2538
3 1623, 1269
541, 423

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6492,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 6492,5076 By Matching Biggest Common Factor Method

Factors of 6492

List of positive integer factors of 6492 that divides 6492 without a remainder.

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 6492,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 6492,5076 is 12.

Lets's calculate LCM of 789,5427

3 789, 5427
263, 1809

∴ So the LCM of the given numbers is 3 x 263 x 1809 = 1427301

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1427301

Therefore, the GCF of Fractions 6492/789,5076/5427 is 12/1427301

Least Common Multiple of 789,5427 with GCF Formula

Least Common Multiple of 789,5427 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 789,5427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,5427) = 3

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

GCF(789,5427) x common factors =3 x 1 = 3

LCM(789,5427) = ( 789 × 5427 ) / 3

LCM(789,5427) = 4281903 / 3

LCM(789,5427) = 1427301


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 6492/789, 5076/5427

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 6492/789, 5076/5427?

Answer: GCF of Numerators as per given numbers 6492/789, 5076/5427 is

GCF of Numerators i.e. for 6492,5076 is 12

LCM of denominators i.e. for 789,5427 is 1427301.

Thus, GCF of Fractions is 12/1427301.Finally, GCF of Fractions for 6492/789, 5076/5427 is 12/1427301.