Greatest Common Factor of 432/724, 7881/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/724, 7881/766

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 432/724,7881/766

Given fractions are 432/724,7881/766

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 432,7881

Greatest Common Factor of Numerators i.e. GCF of 432,7881 is 3 .

LCM of Denominators means LCM of 724,766 as per the given fractions.

LCM of 724,766 is 277292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,7881

GCF of Fractions 432/724,7881/766 is 3/277292

3 432, 7881
144, 2627

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

Greatest Common Factor of 432,7881 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,7881 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 7881

List of positive integer factors of 7881 that divides 7881 without a remainder.

1,3,37,71,111,213,2627,7881

Greatest Common Factor

We found the factors 432,7881 . The biggest common factor number is the GCF number.
So the greatest common factor 432,7881 is 3.

Lets's calculate LCM of 724,766

2 724, 766
362, 383

∴ So the LCM of the given numbers is 2 x 362 x 383 = 277292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/277292

Therefore, the GCF of Fractions 432/724,7881/766 is 3/277292

Least Common Multiple of 724,766 with GCF Formula

Least Common Multiple of 724,766 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 724,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,766) = 2

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

GCF(724,766) x common factors =2 x 1 = 2

LCM(724,766) = ( 724 × 766 ) / 2

LCM(724,766) = 554584 / 2

LCM(724,766) = 277292


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 432/724, 7881/766

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 432/724, 7881/766?

Answer: GCF of Numerators as per given numbers 432/724, 7881/766 is

GCF of Numerators i.e. for 432,7881 is 3

LCM of denominators i.e. for 724,766 is 277292.

Thus, GCF of Fractions is 3/277292.Finally, GCF of Fractions for 432/724, 7881/766 is 3/277292.