Greatest Common Factor of 5178/268, 2625/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5178/268, 2625/773

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 5178/268,2625/773

Given fractions are 5178/268,2625/773

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 5178,2625

Greatest Common Factor of Numerators i.e. GCF of 5178,2625 is 3 .

LCM of Denominators means LCM of 268,773 as per the given fractions.

LCM of 268,773 is 207164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5178,2625

GCF of Fractions 5178/268,2625/773 is 3/207164

3 5178, 2625
1726, 875

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

Greatest Common Factor of 5178,2625 By Matching Biggest Common Factor Method

Greatest Common Factor of 5178,2625 By Matching Biggest Common Factor Method

Factors of 5178

List of positive integer factors of 5178 that divides 5178 without a remainder.

1,2,3,6,863,1726,2589,5178

Factors of 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625

Greatest Common Factor

We found the factors 5178,2625 . The biggest common factor number is the GCF number.
So the greatest common factor 5178,2625 is 3.

Lets's calculate LCM of 268,773

Given numbers has no common factors except 1. So, there LCM is their product i.e 207164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/207164

Therefore, the GCF of Fractions 5178/268,2625/773 is 3/207164

Least Common Multiple of 268,773 with GCF Formula

Least Common Multiple of 268,773 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 268,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,773) = 1

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

GCF(268,773) x common factors =1 x 1 = 1

LCM(268,773) = ( 268 × 773 ) / 1

LCM(268,773) = 207164 / 1

LCM(268,773) = 207164


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 5178/268, 2625/773

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 5178/268, 2625/773?

Answer: GCF of Numerators as per given numbers 5178/268, 2625/773 is

GCF of Numerators i.e. for 5178,2625 is 3

LCM of denominators i.e. for 268,773 is 207164.

Thus, GCF of Fractions is 3/207164.Finally, GCF of Fractions for 5178/268, 2625/773 is 3/207164.