Greatest Common Factor of 8831/529, 2431/1104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8831/529, 2431/1104

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 8831/529,2431/1104

Given fractions are 8831/529,2431/1104

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 8831,2431

Greatest Common Factor of Numerators i.e. GCF of 8831,2431 is 1 .

LCM of Denominators means LCM of 529,1104 as per the given fractions.

LCM of 529,1104 is 25392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8831,2431

GCF of Fractions 8831/529,2431/1104 is 1/25392

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

Greatest Common Factor of 8831,2431 By Matching Biggest Common Factor Method

Greatest Common Factor of 8831,2431 By Matching Biggest Common Factor Method

Factors of 8831

List of positive integer factors of 8831 that divides 8831 without a remainder.

1,8831

Factors of 2431

List of positive integer factors of 2431 that divides 2431 without a remainder.

1,11,13,17,143,187,221,2431

Greatest Common Factor

We found the factors 8831,2431 . The biggest common factor number is the GCF number.
So the greatest common factor 8831,2431 is 1.

Lets's calculate LCM of 529,1104

23 529, 1104
23, 48

∴ So the LCM of the given numbers is 23 x 23 x 48 = 25392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25392

Therefore, the GCF of Fractions 8831/529,2431/1104 is 1/25392

Least Common Multiple of 529,1104 with GCF Formula

Least Common Multiple of 529,1104 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 529,1104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,1104) = 23

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

GCF(529,1104) x common factors =23 x 1 = 23

LCM(529,1104) = ( 529 × 1104 ) / 23

LCM(529,1104) = 584016 / 23

LCM(529,1104) = 25392


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 8831/529, 2431/1104

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 8831/529, 2431/1104?

Answer: GCF of Numerators as per given numbers 8831/529, 2431/1104 is

GCF of Numerators i.e. for 8831,2431 is 1

LCM of denominators i.e. for 529,1104 is 25392.

Thus, GCF of Fractions is 1/25392.Finally, GCF of Fractions for 8831/529, 2431/1104 is 1/25392.