Greatest Common Factor of 5559/57, 7372/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5559/57, 7372/149

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 5559/57,7372/149

Given fractions are 5559/57,7372/149

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 5559,7372

Greatest Common Factor of Numerators i.e. GCF of 5559,7372 is 1 .

LCM of Denominators means LCM of 57,149 as per the given fractions.

LCM of 57,149 is 8493 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5559,7372

GCF of Fractions 5559/57,7372/149 is 1/8493

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5559,7372 By Matching Biggest Common Factor Method

Greatest Common Factor of 5559,7372 By Matching Biggest Common Factor Method

Factors of 5559

List of positive integer factors of 5559 that divides 5559 without a remainder.

1,3,17,51,109,327,1853,5559

Factors of 7372

List of positive integer factors of 7372 that divides 7372 without a remainder.

1,2,4,19,38,76,97,194,388,1843,3686,7372

Greatest Common Factor

We found the factors 5559,7372 . The biggest common factor number is the GCF number.
So the greatest common factor 5559,7372 is 1.

Lets's calculate LCM of 57,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 8493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8493

Therefore, the GCF of Fractions 5559/57,7372/149 is 1/8493

Least Common Multiple of 57,149 with GCF Formula

Least Common Multiple of 57,149 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 57,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,149) = 1

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

GCF(57,149) x common factors =1 x 1 = 1

LCM(57,149) = ( 57 × 149 ) / 1

LCM(57,149) = 8493 / 1

LCM(57,149) = 8493


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 5559/57, 7372/149

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 5559/57, 7372/149?

Answer: GCF of Numerators as per given numbers 5559/57, 7372/149 is

GCF of Numerators i.e. for 5559,7372 is 1

LCM of denominators i.e. for 57,149 is 8493.

Thus, GCF of Fractions is 1/8493.Finally, GCF of Fractions for 5559/57, 7372/149 is 1/8493.