Greatest Common Factor of 8517/512, 9911/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8517/512, 9911/998

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 8517/512,9911/998

Given fractions are 8517/512,9911/998

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 8517,9911

Greatest Common Factor of Numerators i.e. GCF of 8517,9911 is 17 .

LCM of Denominators means LCM of 512,998 as per the given fractions.

LCM of 512,998 is 255488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8517,9911

GCF of Fractions 8517/512,9911/998 is 17/255488

17 8517, 9911
501, 583

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 8517,9911 By Matching Biggest Common Factor Method

Greatest Common Factor of 8517,9911 By Matching Biggest Common Factor Method

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1,3,17,51,167,501,2839,8517

Factors of 9911

List of positive integer factors of 9911 that divides 9911 without a remainder.

1,11,17,53,187,583,901,9911

Greatest Common Factor

We found the factors 8517,9911 . The biggest common factor number is the GCF number.
So the greatest common factor 8517,9911 is 17.

Lets's calculate LCM of 512,998

2 512, 998
256, 499

∴ So the LCM of the given numbers is 2 x 256 x 499 = 255488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/255488

Therefore, the GCF of Fractions 8517/512,9911/998 is 17/255488

Least Common Multiple of 512,998 with GCF Formula

Least Common Multiple of 512,998 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 512,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,998) = 2

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

GCF(512,998) x common factors =2 x 1 = 2

LCM(512,998) = ( 512 × 998 ) / 2

LCM(512,998) = 510976 / 2

LCM(512,998) = 255488


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 8517/512, 9911/998

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 8517/512, 9911/998?

Answer: GCF of Numerators as per given numbers 8517/512, 9911/998 is

GCF of Numerators i.e. for 8517,9911 is 17

LCM of denominators i.e. for 512,998 is 255488.

Thus, GCF of Fractions is 17/255488.Finally, GCF of Fractions for 8517/512, 9911/998 is 17/255488.