Greatest Common Factor of 9717/299, 9086/3418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9717/299, 9086/3418

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 9717/299,9086/3418

Given fractions are 9717/299,9086/3418

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 9717,9086

Greatest Common Factor of Numerators i.e. GCF of 9717,9086 is 1 .

LCM of Denominators means LCM of 299,3418 as per the given fractions.

LCM of 299,3418 is 1021982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9717,9086

GCF of Fractions 9717/299,9086/3418 is 1/1021982

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

Greatest Common Factor of 9717,9086 By Matching Biggest Common Factor Method

Greatest Common Factor of 9717,9086 By Matching Biggest Common Factor Method

Factors of 9717

List of positive integer factors of 9717 that divides 9717 without a remainder.

1,3,41,79,123,237,3239,9717

Factors of 9086

List of positive integer factors of 9086 that divides 9086 without a remainder.

1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086

Greatest Common Factor

We found the factors 9717,9086 . The biggest common factor number is the GCF number.
So the greatest common factor 9717,9086 is 1.

Lets's calculate LCM of 299,3418

Given numbers has no common factors except 1. So, there LCM is their product i.e 1021982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1021982

Therefore, the GCF of Fractions 9717/299,9086/3418 is 1/1021982

Least Common Multiple of 299,3418 with GCF Formula

Least Common Multiple of 299,3418 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 299,3418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,3418) = 1

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

GCF(299,3418) x common factors =1 x 1 = 1

LCM(299,3418) = ( 299 × 3418 ) / 1

LCM(299,3418) = 1021982 / 1

LCM(299,3418) = 1021982


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 9717/299, 9086/3418

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 9717/299, 9086/3418?

Answer: GCF of Numerators as per given numbers 9717/299, 9086/3418 is

GCF of Numerators i.e. for 9717,9086 is 1

LCM of denominators i.e. for 299,3418 is 1021982.

Thus, GCF of Fractions is 1/1021982.Finally, GCF of Fractions for 9717/299, 9086/3418 is 1/1021982.