Greatest Common Factor of 7184/180, 7359/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7184/180, 7359/149

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 7184/180,7359/149

Given fractions are 7184/180,7359/149

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 7184,7359

Greatest Common Factor of Numerators i.e. GCF of 7184,7359 is 1 .

LCM of Denominators means LCM of 180,149 as per the given fractions.

LCM of 180,149 is 26820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7184,7359

GCF of Fractions 7184/180,7359/149 is 1/26820

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

Greatest Common Factor of 7184,7359 By Matching Biggest Common Factor Method

Greatest Common Factor of 7184,7359 By Matching Biggest Common Factor Method

Factors of 7184

List of positive integer factors of 7184 that divides 7184 without a remainder.

1,2,4,8,16,449,898,1796,3592,7184

Factors of 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1,3,11,33,223,669,2453,7359

Greatest Common Factor

We found the factors 7184,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 7184,7359 is 1.

Lets's calculate LCM of 180,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 26820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26820

Therefore, the GCF of Fractions 7184/180,7359/149 is 1/26820

Least Common Multiple of 180,149 with GCF Formula

Least Common Multiple of 180,149 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 180,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,149) = 1

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

GCF(180,149) x common factors =1 x 1 = 1

LCM(180,149) = ( 180 × 149 ) / 1

LCM(180,149) = 26820 / 1

LCM(180,149) = 26820


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 7184/180, 7359/149

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 7184/180, 7359/149?

Answer: GCF of Numerators as per given numbers 7184/180, 7359/149 is

GCF of Numerators i.e. for 7184,7359 is 1

LCM of denominators i.e. for 180,149 is 26820.

Thus, GCF of Fractions is 1/26820.Finally, GCF of Fractions for 7184/180, 7359/149 is 1/26820.