Greatest Common Factor of 9172/19, 8301/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9172/19, 8301/331

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 9172/19,8301/331

Given fractions are 9172/19,8301/331

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 9172,8301

Greatest Common Factor of Numerators i.e. GCF of 9172,8301 is 1 .

LCM of Denominators means LCM of 19,331 as per the given fractions.

LCM of 19,331 is 6289 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9172,8301

GCF of Fractions 9172/19,8301/331 is 1/6289

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

Greatest Common Factor of 9172,8301 By Matching Biggest Common Factor Method

Greatest Common Factor of 9172,8301 By Matching Biggest Common Factor Method

Factors of 9172

List of positive integer factors of 9172 that divides 9172 without a remainder.

1,2,4,2293,4586,9172

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1,3,2767,8301

Greatest Common Factor

We found the factors 9172,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 9172,8301 is 1.

Lets's calculate LCM of 19,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 6289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6289

Therefore, the GCF of Fractions 9172/19,8301/331 is 1/6289

Least Common Multiple of 19,331 with GCF Formula

Least Common Multiple of 19,331 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 19,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,331) = 1

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

GCF(19,331) x common factors =1 x 1 = 1

LCM(19,331) = ( 19 × 331 ) / 1

LCM(19,331) = 6289 / 1

LCM(19,331) = 6289


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 9172/19, 8301/331

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 9172/19, 8301/331?

Answer: GCF of Numerators as per given numbers 9172/19, 8301/331 is

GCF of Numerators i.e. for 9172,8301 is 1

LCM of denominators i.e. for 19,331 is 6289.

Thus, GCF of Fractions is 1/6289.Finally, GCF of Fractions for 9172/19, 8301/331 is 1/6289.