Greatest Common Factor of 5804/109, 9201/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5804/109, 9201/147

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 5804/109,9201/147

Given fractions are 5804/109,9201/147

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 5804,9201

Greatest Common Factor of Numerators i.e. GCF of 5804,9201 is 1 .

LCM of Denominators means LCM of 109,147 as per the given fractions.

LCM of 109,147 is 16023 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5804,9201

GCF of Fractions 5804/109,9201/147 is 1/16023

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

Greatest Common Factor of 5804,9201 By Matching Biggest Common Factor Method

Greatest Common Factor of 5804,9201 By Matching Biggest Common Factor Method

Factors of 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1,2,4,1451,2902,5804

Factors of 9201

List of positive integer factors of 9201 that divides 9201 without a remainder.

1,3,3067,9201

Greatest Common Factor

We found the factors 5804,9201 . The biggest common factor number is the GCF number.
So the greatest common factor 5804,9201 is 1.

Lets's calculate LCM of 109,147

Given numbers has no common factors except 1. So, there LCM is their product i.e 16023

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16023

Therefore, the GCF of Fractions 5804/109,9201/147 is 1/16023

Least Common Multiple of 109,147 with GCF Formula

Least Common Multiple of 109,147 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 109,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,147) = 1

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

GCF(109,147) x common factors =1 x 1 = 1

LCM(109,147) = ( 109 × 147 ) / 1

LCM(109,147) = 16023 / 1

LCM(109,147) = 16023


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 5804/109, 9201/147

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 5804/109, 9201/147?

Answer: GCF of Numerators as per given numbers 5804/109, 9201/147 is

GCF of Numerators i.e. for 5804,9201 is 1

LCM of denominators i.e. for 109,147 is 16023.

Thus, GCF of Fractions is 1/16023.Finally, GCF of Fractions for 5804/109, 9201/147 is 1/16023.