Greatest Common Factor of 3579/75, 5055/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3579/75, 5055/212

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 3579/75,5055/212

Given fractions are 3579/75,5055/212

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 3579,5055

Greatest Common Factor of Numerators i.e. GCF of 3579,5055 is 3 .

LCM of Denominators means LCM of 75,212 as per the given fractions.

LCM of 75,212 is 15900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3579,5055

GCF of Fractions 3579/75,5055/212 is 3/15900

3 3579, 5055
1193, 1685

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

Greatest Common Factor of 3579,5055 By Matching Biggest Common Factor Method

Greatest Common Factor of 3579,5055 By Matching Biggest Common Factor Method

Factors of 3579

List of positive integer factors of 3579 that divides 3579 without a remainder.

1,3,1193,3579

Factors of 5055

List of positive integer factors of 5055 that divides 5055 without a remainder.

1,3,5,15,337,1011,1685,5055

Greatest Common Factor

We found the factors 3579,5055 . The biggest common factor number is the GCF number.
So the greatest common factor 3579,5055 is 3.

Lets's calculate LCM of 75,212

Given numbers has no common factors except 1. So, there LCM is their product i.e 15900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15900

Therefore, the GCF of Fractions 3579/75,5055/212 is 3/15900

Least Common Multiple of 75,212 with GCF Formula

Least Common Multiple of 75,212 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 75,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,212) = 1

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

GCF(75,212) x common factors =1 x 1 = 1

LCM(75,212) = ( 75 × 212 ) / 1

LCM(75,212) = 15900 / 1

LCM(75,212) = 15900


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 3579/75, 5055/212

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 3579/75, 5055/212?

Answer: GCF of Numerators as per given numbers 3579/75, 5055/212 is

GCF of Numerators i.e. for 3579,5055 is 3

LCM of denominators i.e. for 75,212 is 15900.

Thus, GCF of Fractions is 3/15900.Finally, GCF of Fractions for 3579/75, 5055/212 is 3/15900.