Greatest Common Factor of 3078/738, 1278/5277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3078/738, 1278/5277

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 3078/738,1278/5277

Given fractions are 3078/738,1278/5277

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 3078,1278

Greatest Common Factor of Numerators i.e. GCF of 3078,1278 is 18 .

LCM of Denominators means LCM of 738,5277 as per the given fractions.

LCM of 738,5277 is 1298142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3078,1278

GCF of Fractions 3078/738,1278/5277 is 18/1298142

2 3078, 1278
3 1539, 639
3 513, 213
171, 71

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 3078,1278 By Matching Biggest Common Factor Method

Greatest Common Factor of 3078,1278 By Matching Biggest Common Factor Method

Factors of 3078

List of positive integer factors of 3078 that divides 3078 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078

Factors of 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1,2,3,6,9,18,71,142,213,426,639,1278

Greatest Common Factor

We found the factors 3078,1278 . The biggest common factor number is the GCF number.
So the greatest common factor 3078,1278 is 18.

Lets's calculate LCM of 738,5277

3 738, 5277
246, 1759

∴ So the LCM of the given numbers is 3 x 246 x 1759 = 1298142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1298142

Therefore, the GCF of Fractions 3078/738,1278/5277 is 18/1298142

Least Common Multiple of 738,5277 with GCF Formula

Least Common Multiple of 738,5277 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 738,5277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,5277) = 3

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

GCF(738,5277) x common factors =3 x 1 = 3

LCM(738,5277) = ( 738 × 5277 ) / 3

LCM(738,5277) = 3894426 / 3

LCM(738,5277) = 1298142


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 3078/738, 1278/5277

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 3078/738, 1278/5277?

Answer: GCF of Numerators as per given numbers 3078/738, 1278/5277 is

GCF of Numerators i.e. for 3078,1278 is 18

LCM of denominators i.e. for 738,5277 is 1298142.

Thus, GCF of Fractions is 18/1298142.Finally, GCF of Fractions for 3078/738, 1278/5277 is 18/1298142.