Greatest Common Factor of 429/811, 9423/2736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/811, 9423/2736

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 429/811,9423/2736

Given fractions are 429/811,9423/2736

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 429,9423

Greatest Common Factor of Numerators i.e. GCF of 429,9423 is 3 .

LCM of Denominators means LCM of 811,2736 as per the given fractions.

LCM of 811,2736 is 2218896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,9423

GCF of Fractions 429/811,9423/2736 is 3/2218896

3 429, 9423
143, 3141

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

Greatest Common Factor of 429,9423 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,9423 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 9423

List of positive integer factors of 9423 that divides 9423 without a remainder.

1,3,9,27,349,1047,3141,9423

Greatest Common Factor

We found the factors 429,9423 . The biggest common factor number is the GCF number.
So the greatest common factor 429,9423 is 3.

Lets's calculate LCM of 811,2736

Given numbers has no common factors except 1. So, there LCM is their product i.e 2218896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2218896

Therefore, the GCF of Fractions 429/811,9423/2736 is 3/2218896

Least Common Multiple of 811,2736 with GCF Formula

Least Common Multiple of 811,2736 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 811,2736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,2736) = 1

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

GCF(811,2736) x common factors =1 x 1 = 1

LCM(811,2736) = ( 811 × 2736 ) / 1

LCM(811,2736) = 2218896 / 1

LCM(811,2736) = 2218896


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 429/811, 9423/2736

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 429/811, 9423/2736?

Answer: GCF of Numerators as per given numbers 429/811, 9423/2736 is

GCF of Numerators i.e. for 429,9423 is 3

LCM of denominators i.e. for 811,2736 is 2218896.

Thus, GCF of Fractions is 3/2218896.Finally, GCF of Fractions for 429/811, 9423/2736 is 3/2218896.