Greatest Common Factor of 6780/10, 7428/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6780/10, 7428/987

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 6780/10,7428/987

Given fractions are 6780/10,7428/987

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 6780,7428

Greatest Common Factor of Numerators i.e. GCF of 6780,7428 is 12 .

LCM of Denominators means LCM of 10,987 as per the given fractions.

LCM of 10,987 is 9870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6780,7428

GCF of Fractions 6780/10,7428/987 is 12/9870

2 6780, 7428
2 3390, 3714
3 1695, 1857
565, 619

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

Greatest Common Factor of 6780,7428 By Matching Biggest Common Factor Method

Greatest Common Factor of 6780,7428 By Matching Biggest Common Factor Method

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

Factors of 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1,2,3,4,6,12,619,1238,1857,2476,3714,7428

Greatest Common Factor

We found the factors 6780,7428 . The biggest common factor number is the GCF number.
So the greatest common factor 6780,7428 is 12.

Lets's calculate LCM of 10,987

Given numbers has no common factors except 1. So, there LCM is their product i.e 9870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/9870

Therefore, the GCF of Fractions 6780/10,7428/987 is 12/9870

Least Common Multiple of 10,987 with GCF Formula

Least Common Multiple of 10,987 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 10,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,987) = 1

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

GCF(10,987) x common factors =1 x 1 = 1

LCM(10,987) = ( 10 × 987 ) / 1

LCM(10,987) = 9870 / 1

LCM(10,987) = 9870


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 6780/10, 7428/987

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 6780/10, 7428/987?

Answer: GCF of Numerators as per given numbers 6780/10, 7428/987 is

GCF of Numerators i.e. for 6780,7428 is 12

LCM of denominators i.e. for 10,987 is 9870.

Thus, GCF of Fractions is 12/9870.Finally, GCF of Fractions for 6780/10, 7428/987 is 12/9870.