Greatest Common Factor of 8813/432, 5951/1829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8813/432, 5951/1829

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 8813/432,5951/1829

Given fractions are 8813/432,5951/1829

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 8813,5951

Greatest Common Factor of Numerators i.e. GCF of 8813,5951 is 1 .

LCM of Denominators means LCM of 432,1829 as per the given fractions.

LCM of 432,1829 is 790128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8813,5951

GCF of Fractions 8813/432,5951/1829 is 1/790128

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

Greatest Common Factor of 8813,5951 By Matching Biggest Common Factor Method

Greatest Common Factor of 8813,5951 By Matching Biggest Common Factor Method

Factors of 8813

List of positive integer factors of 8813 that divides 8813 without a remainder.

1,7,1259,8813

Factors of 5951

List of positive integer factors of 5951 that divides 5951 without a remainder.

1,11,541,5951

Greatest Common Factor

We found the factors 8813,5951 . The biggest common factor number is the GCF number.
So the greatest common factor 8813,5951 is 1.

Lets's calculate LCM of 432,1829

Given numbers has no common factors except 1. So, there LCM is their product i.e 790128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/790128

Therefore, the GCF of Fractions 8813/432,5951/1829 is 1/790128

Least Common Multiple of 432,1829 with GCF Formula

Least Common Multiple of 432,1829 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 432,1829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,1829) = 1

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

GCF(432,1829) x common factors =1 x 1 = 1

LCM(432,1829) = ( 432 × 1829 ) / 1

LCM(432,1829) = 790128 / 1

LCM(432,1829) = 790128


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 8813/432, 5951/1829

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 8813/432, 5951/1829?

Answer: GCF of Numerators as per given numbers 8813/432, 5951/1829 is

GCF of Numerators i.e. for 8813,5951 is 1

LCM of denominators i.e. for 432,1829 is 790128.

Thus, GCF of Fractions is 1/790128.Finally, GCF of Fractions for 8813/432, 5951/1829 is 1/790128.