Greatest Common Factor of 9019/133, 1954/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9019/133, 1954/180

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 9019/133,1954/180

Given fractions are 9019/133,1954/180

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 9019,1954

Greatest Common Factor of Numerators i.e. GCF of 9019,1954 is 1 .

LCM of Denominators means LCM of 133,180 as per the given fractions.

LCM of 133,180 is 23940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9019,1954

GCF of Fractions 9019/133,1954/180 is 1/23940

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

Greatest Common Factor of 9019,1954 By Matching Biggest Common Factor Method

Greatest Common Factor of 9019,1954 By Matching Biggest Common Factor Method

Factors of 9019

List of positive integer factors of 9019 that divides 9019 without a remainder.

1,29,311,9019

Factors of 1954

List of positive integer factors of 1954 that divides 1954 without a remainder.

1,2,977,1954

Greatest Common Factor

We found the factors 9019,1954 . The biggest common factor number is the GCF number.
So the greatest common factor 9019,1954 is 1.


Lets's calculate LCM of 133,180

Given numbers has no common factors except 1. So, there LCM is their product i.e 23940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23940

Therefore, the GCF of Fractions 9019/133,1954/180 is 1/23940

Least Common Multiple of 133,180 with GCF Formula

Least Common Multiple of 133,180 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 133,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,180) = 1

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

GCF(133,180) x common factors =1 x 1 = 1

LCM(133,180) = ( 133 × 180 ) / 1

LCM(133,180) = 23940 / 1

LCM(133,180) = 23940


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9019/133, 1954/180

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 9019/133, 1954/180?

Answer: GCF of Numerators as per given numbers 9019/133, 1954/180 is

GCF of Numerators i.e. for 9019,1954 is 1

LCM of denominators i.e. for 133,180 is 23940.

Thus, GCF of Fractions is 1/23940.Finally, GCF of Fractions for 9019/133, 1954/180 is 1/23940.