Greatest Common Factor of 24/31, 994/38, 309/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/31, 994/38, 309/428

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 24/31,994/38,309/428

Given fractions are 24/31,994/38,309/428

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 24,994,309

Greatest Common Factor of Numerators i.e. GCF of 24,994,309 is 1 .

LCM of Denominators means LCM of 31,38,428 as per the given fractions.

LCM of 31,38,428 is 252092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,994,309

GCF of Fractions 24/31,994/38,309/428 is 1/252092

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

Greatest Common Factor of 24,994,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,994,309 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 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 24,994,309 . The biggest common factor number is the GCF number.
So the greatest common factor 24,994,309 is 1.

Lets's calculate LCM of 31,38,428

2 31, 38, 428
31, 19, 214

∴ So the LCM of the given numbers is 2 x 31 x 19 x 214 = 252092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252092

Therefore, the GCF of Fractions 24/31,994/38,309/428 is 1/252092

Least Common Multiple of 31,38,428 with GCF Formula

Least Common Multiple of 31,38,428 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 31,38,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,38,428) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,38,428) x common factors =1 x 2 = 2

LCM(31,38,428) = ( 31 × 38 × 428 ) / 2

LCM(31,38,428) = 504184 / 2

LCM(31,38,428) = 252092


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 24/31, 994/38, 309/428

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 24/31, 994/38, 309/428?

Answer: GCF of Numerators as per given numbers 24/31, 994/38, 309/428 is

GCF of Numerators i.e. for 24,994,309 is 1

LCM of denominators i.e. for 31,38,428 is 252092.

Thus, GCF of Fractions is 1/252092.Finally, GCF of Fractions for 24/31, 994/38, 309/428 is 1/252092.