Greatest Common Factor of 7476/360, 3892/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7476/360, 3892/519

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 7476/360,3892/519

Given fractions are 7476/360,3892/519

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 7476,3892

Greatest Common Factor of Numerators i.e. GCF of 7476,3892 is 28 .

LCM of Denominators means LCM of 360,519 as per the given fractions.

LCM of 360,519 is 62280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7476,3892

GCF of Fractions 7476/360,3892/519 is 28/62280

2 7476, 3892
2 3738, 1946
7 1869, 973
267, 139

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 7476,3892 By Matching Biggest Common Factor Method

Greatest Common Factor of 7476,3892 By Matching Biggest Common Factor Method

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

Factors of 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1,2,4,7,14,28,139,278,556,973,1946,3892

Greatest Common Factor

We found the factors 7476,3892 . The biggest common factor number is the GCF number.
So the greatest common factor 7476,3892 is 28.

Lets's calculate LCM of 360,519

3 360, 519
120, 173

∴ So the LCM of the given numbers is 3 x 120 x 173 = 62280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/62280

Therefore, the GCF of Fractions 7476/360,3892/519 is 28/62280

Least Common Multiple of 360,519 with GCF Formula

Least Common Multiple of 360,519 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 360,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,519) = 3

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

GCF(360,519) x common factors =3 x 1 = 3

LCM(360,519) = ( 360 × 519 ) / 3

LCM(360,519) = 186840 / 3

LCM(360,519) = 62280


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 7476/360, 3892/519

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 7476/360, 3892/519?

Answer: GCF of Numerators as per given numbers 7476/360, 3892/519 is

GCF of Numerators i.e. for 7476,3892 is 28

LCM of denominators i.e. for 360,519 is 62280.

Thus, GCF of Fractions is 28/62280.Finally, GCF of Fractions for 7476/360, 3892/519 is 28/62280.