Greatest Common Factor of 6297/86, 7527/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6297/86, 7527/780

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 6297/86,7527/780

Given fractions are 6297/86,7527/780

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 6297,7527

Greatest Common Factor of Numerators i.e. GCF of 6297,7527 is 3 .

LCM of Denominators means LCM of 86,780 as per the given fractions.

LCM of 86,780 is 33540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6297,7527

GCF of Fractions 6297/86,7527/780 is 3/33540

3 6297, 7527
2099, 2509

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6297,7527 By Matching Biggest Common Factor Method

Greatest Common Factor of 6297,7527 By Matching Biggest Common Factor Method

Factors of 6297

List of positive integer factors of 6297 that divides 6297 without a remainder.

1,3,2099,6297

Factors of 7527

List of positive integer factors of 7527 that divides 7527 without a remainder.

1,3,13,39,193,579,2509,7527

Greatest Common Factor

We found the factors 6297,7527 . The biggest common factor number is the GCF number.
So the greatest common factor 6297,7527 is 3.

Lets's calculate LCM of 86,780

2 86, 780
43, 390

∴ So the LCM of the given numbers is 2 x 43 x 390 = 33540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33540

Therefore, the GCF of Fractions 6297/86,7527/780 is 3/33540

Least Common Multiple of 86,780 with GCF Formula

Least Common Multiple of 86,780 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 86,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,780) = 2

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

GCF(86,780) x common factors =2 x 1 = 2

LCM(86,780) = ( 86 × 780 ) / 2

LCM(86,780) = 67080 / 2

LCM(86,780) = 33540


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 6297/86, 7527/780

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 6297/86, 7527/780?

Answer: GCF of Numerators as per given numbers 6297/86, 7527/780 is

GCF of Numerators i.e. for 6297,7527 is 3

LCM of denominators i.e. for 86,780 is 33540.

Thus, GCF of Fractions is 3/33540.Finally, GCF of Fractions for 6297/86, 7527/780 is 3/33540.