Greatest Common Factor of 24/42, 81/766, 723/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/42, 81/766, 723/781

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 24/42,81/766,723/781

Given fractions are 24/42,81/766,723/781

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 24,81,723

Greatest Common Factor of Numerators i.e. GCF of 24,81,723 is 3 .

LCM of Denominators means LCM of 42,766,781 as per the given fractions.

LCM of 42,766,781 is 12563166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,81,723

GCF of Fractions 24/42,81/766,723/781 is 3/12563166

3 24, 81, 723
8, 27, 241

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 24,81,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,81,723 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 24,81,723 . The biggest common factor number is the GCF number.
So the greatest common factor 24,81,723 is 3.

Lets's calculate LCM of 42,766,781

2 42, 766, 781
21, 383, 781

∴ So the LCM of the given numbers is 2 x 21 x 383 x 781 = 12563166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12563166

Therefore, the GCF of Fractions 24/42,81/766,723/781 is 3/12563166

Least Common Multiple of 42,766,781 with GCF Formula

Least Common Multiple of 42,766,781 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 42,766,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,766,781) = 1

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

GCF(42,766,781) x common factors =1 x 2 = 2

LCM(42,766,781) = ( 42 × 766 × 781 ) / 2

LCM(42,766,781) = 25126332 / 2

LCM(42,766,781) = 12563166


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 24/42, 81/766, 723/781

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 24/42, 81/766, 723/781?

Answer: GCF of Numerators as per given numbers 24/42, 81/766, 723/781 is

GCF of Numerators i.e. for 24,81,723 is 3

LCM of denominators i.e. for 42,766,781 is 12563166.

Thus, GCF of Fractions is 3/12563166.Finally, GCF of Fractions for 24/42, 81/766, 723/781 is 3/12563166.