Greatest Common Factor of 6444/878, 6780/9538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6444/878, 6780/9538

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 6444/878,6780/9538

Given fractions are 6444/878,6780/9538

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 6444,6780

Greatest Common Factor of Numerators i.e. GCF of 6444,6780 is 12 .

LCM of Denominators means LCM of 878,9538 as per the given fractions.

LCM of 878,9538 is 4187182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6444,6780

GCF of Fractions 6444/878,6780/9538 is 12/4187182

2 6444, 6780
2 3222, 3390
3 1611, 1695
537, 565

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

Greatest Common Factor of 6444,6780 By Matching Biggest Common Factor Method

Greatest Common Factor of 6444,6780 By Matching Biggest Common Factor Method

Factors of 6444

List of positive integer factors of 6444 that divides 6444 without a remainder.

1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444

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

Greatest Common Factor

We found the factors 6444,6780 . The biggest common factor number is the GCF number.
So the greatest common factor 6444,6780 is 12.

Lets's calculate LCM of 878,9538

2 878, 9538
439, 4769

∴ So the LCM of the given numbers is 2 x 439 x 4769 = 4187182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4187182

Therefore, the GCF of Fractions 6444/878,6780/9538 is 12/4187182

Least Common Multiple of 878,9538 with GCF Formula

Least Common Multiple of 878,9538 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 878,9538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,9538) = 2

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

GCF(878,9538) x common factors =2 x 1 = 2

LCM(878,9538) = ( 878 × 9538 ) / 2

LCM(878,9538) = 8374364 / 2

LCM(878,9538) = 4187182


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 6444/878, 6780/9538

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 6444/878, 6780/9538?

Answer: GCF of Numerators as per given numbers 6444/878, 6780/9538 is

GCF of Numerators i.e. for 6444,6780 is 12

LCM of denominators i.e. for 878,9538 is 4187182.

Thus, GCF of Fractions is 12/4187182.Finally, GCF of Fractions for 6444/878, 6780/9538 is 12/4187182.