Greatest Common Factor of 5127/327, 1308/8125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5127/327, 1308/8125

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 5127/327,1308/8125

Given fractions are 5127/327,1308/8125

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 5127,1308

Greatest Common Factor of Numerators i.e. GCF of 5127,1308 is 3 .

LCM of Denominators means LCM of 327,8125 as per the given fractions.

LCM of 327,8125 is 2656875 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5127,1308

GCF of Fractions 5127/327,1308/8125 is 3/2656875

3 5127, 1308
1709, 436

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

Greatest Common Factor of 5127,1308 By Matching Biggest Common Factor Method

Greatest Common Factor of 5127,1308 By Matching Biggest Common Factor Method

Factors of 5127

List of positive integer factors of 5127 that divides 5127 without a remainder.

1,3,1709,5127

Factors of 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1,2,3,4,6,12,109,218,327,436,654,1308

Greatest Common Factor

We found the factors 5127,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 5127,1308 is 3.

Lets's calculate LCM of 327,8125

Given numbers has no common factors except 1. So, there LCM is their product i.e 2656875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2656875

Therefore, the GCF of Fractions 5127/327,1308/8125 is 3/2656875

Least Common Multiple of 327,8125 with GCF Formula

Least Common Multiple of 327,8125 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 327,8125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,8125) = 1

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

GCF(327,8125) x common factors =1 x 1 = 1

LCM(327,8125) = ( 327 × 8125 ) / 1

LCM(327,8125) = 2656875 / 1

LCM(327,8125) = 2656875


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 5127/327, 1308/8125

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 5127/327, 1308/8125?

Answer: GCF of Numerators as per given numbers 5127/327, 1308/8125 is

GCF of Numerators i.e. for 5127,1308 is 3

LCM of denominators i.e. for 327,8125 is 2656875.

Thus, GCF of Fractions is 3/2656875.Finally, GCF of Fractions for 5127/327, 1308/8125 is 3/2656875.