Greatest Common Factor of 317/23, 971/99, 302/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/23, 971/99, 302/847

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 317/23,971/99,302/847

Given fractions are 317/23,971/99,302/847

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 317,971,302

Greatest Common Factor of Numerators i.e. GCF of 317,971,302 is 1 .

LCM of Denominators means LCM of 23,99,847 as per the given fractions.

LCM of 23,99,847 is 175329 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,971,302

GCF of Fractions 317/23,971/99,302/847 is 1/175329

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

Greatest Common Factor of 317,971,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,971,302 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 317,971,302 . The biggest common factor number is the GCF number.
So the greatest common factor 317,971,302 is 1.

Lets's calculate LCM of 23,99,847

11 23, 99, 847
23, 9, 77

∴ So the LCM of the given numbers is 11 x 23 x 9 x 77 = 175329

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175329

Therefore, the GCF of Fractions 317/23,971/99,302/847 is 1/175329

Least Common Multiple of 23,99,847 with GCF Formula

Least Common Multiple of 23,99,847 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 23,99,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,99,847) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(23,99,847) x common factors =1 x 11 = 11

LCM(23,99,847) = ( 23 × 99 × 847 ) / 11

LCM(23,99,847) = 1928619 / 11

LCM(23,99,847) = 175329


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 317/23, 971/99, 302/847

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 317/23, 971/99, 302/847?

Answer: GCF of Numerators as per given numbers 317/23, 971/99, 302/847 is

GCF of Numerators i.e. for 317,971,302 is 1

LCM of denominators i.e. for 23,99,847 is 175329.

Thus, GCF of Fractions is 1/175329.Finally, GCF of Fractions for 317/23, 971/99, 302/847 is 1/175329.