Greatest Common Factor of 5412/132, 3237/4645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5412/132, 3237/4645

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 5412/132,3237/4645

Given fractions are 5412/132,3237/4645

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 5412,3237

Greatest Common Factor of Numerators i.e. GCF of 5412,3237 is 3 .

LCM of Denominators means LCM of 132,4645 as per the given fractions.

LCM of 132,4645 is 613140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5412,3237

GCF of Fractions 5412/132,3237/4645 is 3/613140

3 5412, 3237
1804, 1079

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

Greatest Common Factor of 5412,3237 By Matching Biggest Common Factor Method

Greatest Common Factor of 5412,3237 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 3237

List of positive integer factors of 3237 that divides 3237 without a remainder.

1,3,13,39,83,249,1079,3237

Greatest Common Factor

We found the factors 5412,3237 . The biggest common factor number is the GCF number.
So the greatest common factor 5412,3237 is 3.

Lets's calculate LCM of 132,4645

Given numbers has no common factors except 1. So, there LCM is their product i.e 613140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/613140

Therefore, the GCF of Fractions 5412/132,3237/4645 is 3/613140

Least Common Multiple of 132,4645 with GCF Formula

Least Common Multiple of 132,4645 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 132,4645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,4645) = 1

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

GCF(132,4645) x common factors =1 x 1 = 1

LCM(132,4645) = ( 132 × 4645 ) / 1

LCM(132,4645) = 613140 / 1

LCM(132,4645) = 613140


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 5412/132, 3237/4645

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 5412/132, 3237/4645?

Answer: GCF of Numerators as per given numbers 5412/132, 3237/4645 is

GCF of Numerators i.e. for 5412,3237 is 3

LCM of denominators i.e. for 132,4645 is 613140.

Thus, GCF of Fractions is 3/613140.Finally, GCF of Fractions for 5412/132, 3237/4645 is 3/613140.