Greatest Common Factor of 6378/55, 7704/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6378/55, 7704/488

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 6378/55,7704/488

Given fractions are 6378/55,7704/488

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 6378,7704

Greatest Common Factor of Numerators i.e. GCF of 6378,7704 is 6 .

LCM of Denominators means LCM of 55,488 as per the given fractions.

LCM of 55,488 is 26840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6378,7704

GCF of Fractions 6378/55,7704/488 is 6/26840

2 6378, 7704
3 3189, 3852
1063, 1284

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6378,7704 By Matching Biggest Common Factor Method

Greatest Common Factor of 6378,7704 By Matching Biggest Common Factor Method

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1,2,3,6,1063,2126,3189,6378

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704

Greatest Common Factor

We found the factors 6378,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 6378,7704 is 6.

Lets's calculate LCM of 55,488

Given numbers has no common factors except 1. So, there LCM is their product i.e 26840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/26840

Therefore, the GCF of Fractions 6378/55,7704/488 is 6/26840

Least Common Multiple of 55,488 with GCF Formula

Least Common Multiple of 55,488 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 55,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,488) = 1

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

GCF(55,488) x common factors =1 x 1 = 1

LCM(55,488) = ( 55 × 488 ) / 1

LCM(55,488) = 26840 / 1

LCM(55,488) = 26840


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 6378/55, 7704/488

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 6378/55, 7704/488?

Answer: GCF of Numerators as per given numbers 6378/55, 7704/488 is

GCF of Numerators i.e. for 6378,7704 is 6

LCM of denominators i.e. for 55,488 is 26840.

Thus, GCF of Fractions is 6/26840.Finally, GCF of Fractions for 6378/55, 7704/488 is 6/26840.