Greatest Common Factor of 8518/709, 8706/3199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8518/709, 8706/3199

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 8518/709,8706/3199

Given fractions are 8518/709,8706/3199

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 8518,8706

Greatest Common Factor of Numerators i.e. GCF of 8518,8706 is 2 .

LCM of Denominators means LCM of 709,3199 as per the given fractions.

LCM of 709,3199 is 2268091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8518,8706

GCF of Fractions 8518/709,8706/3199 is 2/2268091

2 8518, 8706
4259, 4353

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8518,8706 By Matching Biggest Common Factor Method

Greatest Common Factor of 8518,8706 By Matching Biggest Common Factor Method

Factors of 8518

List of positive integer factors of 8518 that divides 8518 without a remainder.

1,2,4259,8518

Factors of 8706

List of positive integer factors of 8706 that divides 8706 without a remainder.

1,2,3,6,1451,2902,4353,8706

Greatest Common Factor

We found the factors 8518,8706 . The biggest common factor number is the GCF number.
So the greatest common factor 8518,8706 is 2.

Lets's calculate LCM of 709,3199

Given numbers has no common factors except 1. So, there LCM is their product i.e 2268091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2268091

Therefore, the GCF of Fractions 8518/709,8706/3199 is 2/2268091

Least Common Multiple of 709,3199 with GCF Formula

Least Common Multiple of 709,3199 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 709,3199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,3199) = 1

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

GCF(709,3199) x common factors =1 x 1 = 1

LCM(709,3199) = ( 709 × 3199 ) / 1

LCM(709,3199) = 2268091 / 1

LCM(709,3199) = 2268091


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 8518/709, 8706/3199

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 8518/709, 8706/3199?

Answer: GCF of Numerators as per given numbers 8518/709, 8706/3199 is

GCF of Numerators i.e. for 8518,8706 is 2

LCM of denominators i.e. for 709,3199 is 2268091.

Thus, GCF of Fractions is 2/2268091.Finally, GCF of Fractions for 8518/709, 8706/3199 is 2/2268091.