Greatest Common Factor of 8708/824, 5899/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8708/824, 5899/724

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 8708/824,5899/724

Given fractions are 8708/824,5899/724

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 8708,5899

Greatest Common Factor of Numerators i.e. GCF of 8708,5899 is 1 .

LCM of Denominators means LCM of 824,724 as per the given fractions.

LCM of 824,724 is 149144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8708,5899

GCF of Fractions 8708/824,5899/724 is 1/149144

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

Greatest Common Factor of 8708,5899 By Matching Biggest Common Factor Method

Greatest Common Factor of 8708,5899 By Matching Biggest Common Factor Method

Factors of 8708

List of positive integer factors of 8708 that divides 8708 without a remainder.

1,2,4,7,14,28,311,622,1244,2177,4354,8708

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1,17,347,5899

Greatest Common Factor

We found the factors 8708,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 8708,5899 is 1.

Lets's calculate LCM of 824,724

2 824, 724
2 412, 362
206, 181

∴ So the LCM of the given numbers is 2 x 2 x 206 x 181 = 149144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149144

Therefore, the GCF of Fractions 8708/824,5899/724 is 1/149144

Least Common Multiple of 824,724 with GCF Formula

Least Common Multiple of 824,724 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 824,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,724) = 4

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

GCF(824,724) x common factors =4 x 1 = 4

LCM(824,724) = ( 824 × 724 ) / 4

LCM(824,724) = 596576 / 4

LCM(824,724) = 149144


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 8708/824, 5899/724

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 8708/824, 5899/724?

Answer: GCF of Numerators as per given numbers 8708/824, 5899/724 is

GCF of Numerators i.e. for 8708,5899 is 1

LCM of denominators i.e. for 824,724 is 149144.

Thus, GCF of Fractions is 1/149144.Finally, GCF of Fractions for 8708/824, 5899/724 is 1/149144.