Greatest Common Factor of 7090/181, 4628/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7090/181, 4628/180

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 7090/181,4628/180

Given fractions are 7090/181,4628/180

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 7090,4628

Greatest Common Factor of Numerators i.e. GCF of 7090,4628 is 2 .

LCM of Denominators means LCM of 181,180 as per the given fractions.

LCM of 181,180 is 32580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7090,4628

GCF of Fractions 7090/181,4628/180 is 2/32580

2 7090, 4628
3545, 2314

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7090,4628 By Matching Biggest Common Factor Method

Greatest Common Factor of 7090,4628 By Matching Biggest Common Factor Method

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Factors of 4628

List of positive integer factors of 4628 that divides 4628 without a remainder.

1,2,4,13,26,52,89,178,356,1157,2314,4628

Greatest Common Factor

We found the factors 7090,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 7090,4628 is 2.

Lets's calculate LCM of 181,180

Given numbers has no common factors except 1. So, there LCM is their product i.e 32580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32580

Therefore, the GCF of Fractions 7090/181,4628/180 is 2/32580

Least Common Multiple of 181,180 with GCF Formula

Least Common Multiple of 181,180 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 181,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,180) = 1

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

GCF(181,180) x common factors =1 x 1 = 1

LCM(181,180) = ( 181 × 180 ) / 1

LCM(181,180) = 32580 / 1

LCM(181,180) = 32580


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 7090/181, 4628/180

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 7090/181, 4628/180?

Answer: GCF of Numerators as per given numbers 7090/181, 4628/180 is

GCF of Numerators i.e. for 7090,4628 is 2

LCM of denominators i.e. for 181,180 is 32580.

Thus, GCF of Fractions is 2/32580.Finally, GCF of Fractions for 7090/181, 4628/180 is 2/32580.