Greatest Common Factor of 24/329, 970/724, 494/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/329, 970/724, 494/730

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 24/329,970/724,494/730

Given fractions are 24/329,970/724,494/730

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 24,970,494

Greatest Common Factor of Numerators i.e. GCF of 24,970,494 is 2 .

LCM of Denominators means LCM of 329,724,730 as per the given fractions.

LCM of 329,724,730 is 86941540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,970,494

GCF of Fractions 24/329,970/724,494/730 is 2/86941540

2 24, 970, 494
12, 485, 247

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 24,970,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,970,494 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 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 24,970,494 . The biggest common factor number is the GCF number.
So the greatest common factor 24,970,494 is 2.

Lets's calculate LCM of 329,724,730

2 329, 724, 730
329, 362, 365

∴ So the LCM of the given numbers is 2 x 329 x 362 x 365 = 86941540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86941540

Therefore, the GCF of Fractions 24/329,970/724,494/730 is 2/86941540

Least Common Multiple of 329,724,730 with GCF Formula

Least Common Multiple of 329,724,730 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 329,724,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,724,730) = 1

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

GCF(329,724,730) x common factors =1 x 2 = 2

LCM(329,724,730) = ( 329 × 724 × 730 ) / 2

LCM(329,724,730) = 173883080 / 2

LCM(329,724,730) = 86941540


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 24/329, 970/724, 494/730

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 24/329, 970/724, 494/730?

Answer: GCF of Numerators as per given numbers 24/329, 970/724, 494/730 is

GCF of Numerators i.e. for 24,970,494 is 2

LCM of denominators i.e. for 329,724,730 is 86941540.

Thus, GCF of Fractions is 2/86941540.Finally, GCF of Fractions for 24/329, 970/724, 494/730 is 2/86941540.