Greatest Common Factor of 971/367, 192/269, 231/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/367, 192/269, 231/423

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 971/367,192/269,231/423

Given fractions are 971/367,192/269,231/423

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 971,192,231

Greatest Common Factor of Numerators i.e. GCF of 971,192,231 is 1 .

LCM of Denominators means LCM of 367,269,423 as per the given fractions.

LCM of 367,269,423 is 41759829 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,192,231

GCF of Fractions 971/367,192/269,231/423 is 1/41759829

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

Greatest Common Factor of 971,192,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,192,231 By Matching Biggest Common Factor Method

Factors of 971

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

1,971

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 971,192,231 . The biggest common factor number is the GCF number.
So the greatest common factor 971,192,231 is 1.

Lets's calculate LCM of 367,269,423

Given numbers has no common factors except 1. So, there LCM is their product i.e 41759829

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41759829

Therefore, the GCF of Fractions 971/367,192/269,231/423 is 1/41759829

Least Common Multiple of 367,269,423 with GCF Formula

Least Common Multiple of 367,269,423 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 367,269,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,269,423) = 1

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

GCF(367,269,423) x common factors =1 x 1 = 1

LCM(367,269,423) = ( 367 × 269 × 423 ) / 1

LCM(367,269,423) = 41759829 / 1

LCM(367,269,423) = 41759829


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 971/367, 192/269, 231/423

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 971/367, 192/269, 231/423?

Answer: GCF of Numerators as per given numbers 971/367, 192/269, 231/423 is

GCF of Numerators i.e. for 971,192,231 is 1

LCM of denominators i.e. for 367,269,423 is 41759829.

Thus, GCF of Fractions is 1/41759829.Finally, GCF of Fractions for 971/367, 192/269, 231/423 is 1/41759829.