Greatest Common Factor of 5412/764, 2904/6372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5412/764, 2904/6372

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 5412/764,2904/6372

Given fractions are 5412/764,2904/6372

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 5412,2904

Greatest Common Factor of Numerators i.e. GCF of 5412,2904 is 132 .

LCM of Denominators means LCM of 764,6372 as per the given fractions.

LCM of 764,6372 is 1217052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5412,2904

GCF of Fractions 5412/764,2904/6372 is 132/1217052

2 5412, 2904
2 2706, 1452
3 1353, 726
11 451, 242
41, 22

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Greatest Common Factor of 5412,2904 By Matching Biggest Common Factor Method

Greatest Common Factor of 5412,2904 By Matching Biggest Common Factor Method

Factors of 5412

List of positive integer factors of 5412 that divides 5412 without a remainder.

1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412

Factors of 2904

List of positive integer factors of 2904 that divides 2904 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904

Greatest Common Factor

We found the factors 5412,2904 . The biggest common factor number is the GCF number.
So the greatest common factor 5412,2904 is 132.

Lets's calculate LCM of 764,6372

2 764, 6372
2 382, 3186
191, 1593

∴ So the LCM of the given numbers is 2 x 2 x 191 x 1593 = 1217052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/1217052

Therefore, the GCF of Fractions 5412/764,2904/6372 is 132/1217052

Least Common Multiple of 764,6372 with GCF Formula

Least Common Multiple of 764,6372 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 764,6372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,6372) = 4

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

GCF(764,6372) x common factors =4 x 1 = 4

LCM(764,6372) = ( 764 × 6372 ) / 4

LCM(764,6372) = 4868208 / 4

LCM(764,6372) = 1217052


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 5412/764, 2904/6372

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 5412/764, 2904/6372?

Answer: GCF of Numerators as per given numbers 5412/764, 2904/6372 is

GCF of Numerators i.e. for 5412,2904 is 132

LCM of denominators i.e. for 764,6372 is 1217052.

Thus, GCF of Fractions is 132/1217052.Finally, GCF of Fractions for 5412/764, 2904/6372 is 132/1217052.