Greatest Common Factor of 5316/510, 6276/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5316/510, 6276/987

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 5316/510,6276/987

Given fractions are 5316/510,6276/987

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 5316,6276

Greatest Common Factor of Numerators i.e. GCF of 5316,6276 is 12 .

LCM of Denominators means LCM of 510,987 as per the given fractions.

LCM of 510,987 is 167790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5316,6276

GCF of Fractions 5316/510,6276/987 is 12/167790

2 5316, 6276
2 2658, 3138
3 1329, 1569
443, 523

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

Greatest Common Factor of 5316,6276 By Matching Biggest Common Factor Method

Greatest Common Factor of 5316,6276 By Matching Biggest Common Factor Method

Factors of 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1,2,3,4,6,12,443,886,1329,1772,2658,5316

Factors of 6276

List of positive integer factors of 6276 that divides 6276 without a remainder.

1,2,3,4,6,12,523,1046,1569,2092,3138,6276

Greatest Common Factor

We found the factors 5316,6276 . The biggest common factor number is the GCF number.
So the greatest common factor 5316,6276 is 12.

Lets's calculate LCM of 510,987

3 510, 987
170, 329

∴ So the LCM of the given numbers is 3 x 170 x 329 = 167790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/167790

Therefore, the GCF of Fractions 5316/510,6276/987 is 12/167790

Least Common Multiple of 510,987 with GCF Formula

Least Common Multiple of 510,987 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 510,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,987) = 3

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

GCF(510,987) x common factors =3 x 1 = 3

LCM(510,987) = ( 510 × 987 ) / 3

LCM(510,987) = 503370 / 3

LCM(510,987) = 167790


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 5316/510, 6276/987

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 5316/510, 6276/987?

Answer: GCF of Numerators as per given numbers 5316/510, 6276/987 is

GCF of Numerators i.e. for 5316,6276 is 12

LCM of denominators i.e. for 510,987 is 167790.

Thus, GCF of Fractions is 12/167790.Finally, GCF of Fractions for 5316/510, 6276/987 is 12/167790.