Greatest Common Factor of 24/831, 75/301, 971/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/831, 75/301, 971/921

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 24/831,75/301,971/921

Given fractions are 24/831,75/301,971/921

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 24,75,971

Greatest Common Factor of Numerators i.e. GCF of 24,75,971 is 1 .

LCM of Denominators means LCM of 831,301,921 as per the given fractions.

LCM of 831,301,921 is 76790217 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,75,971

GCF of Fractions 24/831,75/301,971/921 is 1/76790217

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

Greatest Common Factor of 24,75,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,75,971 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 971

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

1,971

Greatest Common Factor

We found the factors 24,75,971 . The biggest common factor number is the GCF number.
So the greatest common factor 24,75,971 is 1.

Lets's calculate LCM of 831,301,921

3 831, 301, 921
277, 301, 307

∴ So the LCM of the given numbers is 3 x 277 x 301 x 307 = 76790217

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76790217

Therefore, the GCF of Fractions 24/831,75/301,971/921 is 1/76790217

Least Common Multiple of 831,301,921 with GCF Formula

Least Common Multiple of 831,301,921 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 831,301,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,301,921) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(831,301,921) x common factors =1 x 3 = 3

LCM(831,301,921) = ( 831 × 301 × 921 ) / 3

LCM(831,301,921) = 230370651 / 3

LCM(831,301,921) = 76790217


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 24/831, 75/301, 971/921

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 24/831, 75/301, 971/921?

Answer: GCF of Numerators as per given numbers 24/831, 75/301, 971/921 is

GCF of Numerators i.e. for 24,75,971 is 1

LCM of denominators i.e. for 831,301,921 is 76790217.

Thus, GCF of Fractions is 1/76790217.Finally, GCF of Fractions for 24/831, 75/301, 971/921 is 1/76790217.