Greatest Common Factor of 5463/76, 6375/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5463/76, 6375/327

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 5463/76,6375/327

Given fractions are 5463/76,6375/327

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 5463,6375

Greatest Common Factor of Numerators i.e. GCF of 5463,6375 is 3 .

LCM of Denominators means LCM of 76,327 as per the given fractions.

LCM of 76,327 is 24852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5463,6375

GCF of Fractions 5463/76,6375/327 is 3/24852

3 5463, 6375
1821, 2125

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

Greatest Common Factor of 5463,6375 By Matching Biggest Common Factor Method

Greatest Common Factor of 5463,6375 By Matching Biggest Common Factor Method

Factors of 5463

List of positive integer factors of 5463 that divides 5463 without a remainder.

1,3,9,607,1821,5463

Factors of 6375

List of positive integer factors of 6375 that divides 6375 without a remainder.

1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375

Greatest Common Factor

We found the factors 5463,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 5463,6375 is 3.

Lets's calculate LCM of 76,327

Given numbers has no common factors except 1. So, there LCM is their product i.e 24852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24852

Therefore, the GCF of Fractions 5463/76,6375/327 is 3/24852

Least Common Multiple of 76,327 with GCF Formula

Least Common Multiple of 76,327 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 76,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,327) = 1

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

GCF(76,327) x common factors =1 x 1 = 1

LCM(76,327) = ( 76 × 327 ) / 1

LCM(76,327) = 24852 / 1

LCM(76,327) = 24852


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 5463/76, 6375/327

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 5463/76, 6375/327?

Answer: GCF of Numerators as per given numbers 5463/76, 6375/327 is

GCF of Numerators i.e. for 5463,6375 is 3

LCM of denominators i.e. for 76,327 is 24852.

Thus, GCF of Fractions is 3/24852.Finally, GCF of Fractions for 5463/76, 6375/327 is 3/24852.