Greatest Common Factor of 8717/11, 8620/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8717/11, 8620/906

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 8717/11,8620/906

Given fractions are 8717/11,8620/906

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 8717,8620

Greatest Common Factor of Numerators i.e. GCF of 8717,8620 is 1 .

LCM of Denominators means LCM of 11,906 as per the given fractions.

LCM of 11,906 is 9966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8717,8620

GCF of Fractions 8717/11,8620/906 is 1/9966

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

Greatest Common Factor of 8717,8620 By Matching Biggest Common Factor Method

Greatest Common Factor of 8717,8620 By Matching Biggest Common Factor Method

Factors of 8717

List of positive integer factors of 8717 that divides 8717 without a remainder.

1,23,379,8717

Factors of 8620

List of positive integer factors of 8620 that divides 8620 without a remainder.

1,2,4,5,10,20,431,862,1724,2155,4310,8620

Greatest Common Factor

We found the factors 8717,8620 . The biggest common factor number is the GCF number.
So the greatest common factor 8717,8620 is 1.

Lets's calculate LCM of 11,906

Given numbers has no common factors except 1. So, there LCM is their product i.e 9966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9966

Therefore, the GCF of Fractions 8717/11,8620/906 is 1/9966

Least Common Multiple of 11,906 with GCF Formula

Least Common Multiple of 11,906 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 11,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,906) = 1

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

GCF(11,906) x common factors =1 x 1 = 1

LCM(11,906) = ( 11 × 906 ) / 1

LCM(11,906) = 9966 / 1

LCM(11,906) = 9966


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 8717/11, 8620/906

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 8717/11, 8620/906?

Answer: GCF of Numerators as per given numbers 8717/11, 8620/906 is

GCF of Numerators i.e. for 8717,8620 is 1

LCM of denominators i.e. for 11,906 is 9966.

Thus, GCF of Fractions is 1/9966.Finally, GCF of Fractions for 8717/11, 8620/906 is 1/9966.