Greatest Common Factor of 9304/313, 7971/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9304/313, 7971/922

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 9304/313,7971/922

Given fractions are 9304/313,7971/922

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 9304,7971

Greatest Common Factor of Numerators i.e. GCF of 9304,7971 is 1 .

LCM of Denominators means LCM of 313,922 as per the given fractions.

LCM of 313,922 is 288586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9304,7971

GCF of Fractions 9304/313,7971/922 is 1/288586

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

Greatest Common Factor of 9304,7971 By Matching Biggest Common Factor Method

Greatest Common Factor of 9304,7971 By Matching Biggest Common Factor Method

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1,2,4,8,1163,2326,4652,9304

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Greatest Common Factor

We found the factors 9304,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 9304,7971 is 1.

Lets's calculate LCM of 313,922

Given numbers has no common factors except 1. So, there LCM is their product i.e 288586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288586

Therefore, the GCF of Fractions 9304/313,7971/922 is 1/288586

Least Common Multiple of 313,922 with GCF Formula

Least Common Multiple of 313,922 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 313,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,922) = 1

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

GCF(313,922) x common factors =1 x 1 = 1

LCM(313,922) = ( 313 × 922 ) / 1

LCM(313,922) = 288586 / 1

LCM(313,922) = 288586


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 9304/313, 7971/922

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 9304/313, 7971/922?

Answer: GCF of Numerators as per given numbers 9304/313, 7971/922 is

GCF of Numerators i.e. for 9304,7971 is 1

LCM of denominators i.e. for 313,922 is 288586.

Thus, GCF of Fractions is 1/288586.Finally, GCF of Fractions for 9304/313, 7971/922 is 1/288586.