Greatest Common Factor of 9004/779, 4369/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9004/779, 4369/180

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 9004/779,4369/180

Given fractions are 9004/779,4369/180

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 9004,4369

Greatest Common Factor of Numerators i.e. GCF of 9004,4369 is 1 .

LCM of Denominators means LCM of 779,180 as per the given fractions.

LCM of 779,180 is 140220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9004,4369

GCF of Fractions 9004/779,4369/180 is 1/140220

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

Greatest Common Factor of 9004,4369 By Matching Biggest Common Factor Method

Greatest Common Factor of 9004,4369 By Matching Biggest Common Factor Method

Factors of 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1,2,4,2251,4502,9004

Factors of 4369

List of positive integer factors of 4369 that divides 4369 without a remainder.

1,17,257,4369

Greatest Common Factor

We found the factors 9004,4369 . The biggest common factor number is the GCF number.
So the greatest common factor 9004,4369 is 1.

Lets's calculate LCM of 779,180

Given numbers has no common factors except 1. So, there LCM is their product i.e 140220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140220

Therefore, the GCF of Fractions 9004/779,4369/180 is 1/140220

Least Common Multiple of 779,180 with GCF Formula

Least Common Multiple of 779,180 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 779,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,180) = 1

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

GCF(779,180) x common factors =1 x 1 = 1

LCM(779,180) = ( 779 × 180 ) / 1

LCM(779,180) = 140220 / 1

LCM(779,180) = 140220


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 9004/779, 4369/180

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 9004/779, 4369/180?

Answer: GCF of Numerators as per given numbers 9004/779, 4369/180 is

GCF of Numerators i.e. for 9004,4369 is 1

LCM of denominators i.e. for 779,180 is 140220.

Thus, GCF of Fractions is 1/140220.Finally, GCF of Fractions for 9004/779, 4369/180 is 1/140220.