Greatest Common Factor of 9918/289, 8786/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9918/289, 8786/499

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 9918/289,8786/499

Given fractions are 9918/289,8786/499

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 9918,8786

Greatest Common Factor of Numerators i.e. GCF of 9918,8786 is 2 .

LCM of Denominators means LCM of 289,499 as per the given fractions.

LCM of 289,499 is 144211 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9918,8786

GCF of Fractions 9918/289,8786/499 is 2/144211

2 9918, 8786
4959, 4393

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

Greatest Common Factor of 9918,8786 By Matching Biggest Common Factor Method

Greatest Common Factor of 9918,8786 By Matching Biggest Common Factor Method

Factors of 9918

List of positive integer factors of 9918 that divides 9918 without a remainder.

1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918

Factors of 8786

List of positive integer factors of 8786 that divides 8786 without a remainder.

1,2,23,46,191,382,4393,8786

Greatest Common Factor

We found the factors 9918,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 9918,8786 is 2.

Lets's calculate LCM of 289,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 144211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144211

Therefore, the GCF of Fractions 9918/289,8786/499 is 2/144211

Least Common Multiple of 289,499 with GCF Formula

Least Common Multiple of 289,499 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 289,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,499) = 1

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

GCF(289,499) x common factors =1 x 1 = 1

LCM(289,499) = ( 289 × 499 ) / 1

LCM(289,499) = 144211 / 1

LCM(289,499) = 144211


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 9918/289, 8786/499

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 9918/289, 8786/499?

Answer: GCF of Numerators as per given numbers 9918/289, 8786/499 is

GCF of Numerators i.e. for 9918,8786 is 2

LCM of denominators i.e. for 289,499 is 144211.

Thus, GCF of Fractions is 2/144211.Finally, GCF of Fractions for 9918/289, 8786/499 is 2/144211.