Greatest Common Factor of 8919/40, 9991/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8919/40, 9991/486

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 8919/40,9991/486

Given fractions are 8919/40,9991/486

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 8919,9991

Greatest Common Factor of Numerators i.e. GCF of 8919,9991 is 1 .

LCM of Denominators means LCM of 40,486 as per the given fractions.

LCM of 40,486 is 9720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8919,9991

GCF of Fractions 8919/40,9991/486 is 1/9720

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

Greatest Common Factor of 8919,9991 By Matching Biggest Common Factor Method

Greatest Common Factor of 8919,9991 By Matching Biggest Common Factor Method

Factors of 8919

List of positive integer factors of 8919 that divides 8919 without a remainder.

1,3,9,991,2973,8919

Factors of 9991

List of positive integer factors of 9991 that divides 9991 without a remainder.

1,97,103,9991

Greatest Common Factor

We found the factors 8919,9991 . The biggest common factor number is the GCF number.
So the greatest common factor 8919,9991 is 1.

Lets's calculate LCM of 40,486

2 40, 486
20, 243

∴ So the LCM of the given numbers is 2 x 20 x 243 = 9720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9720

Therefore, the GCF of Fractions 8919/40,9991/486 is 1/9720

Least Common Multiple of 40,486 with GCF Formula

Least Common Multiple of 40,486 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 40,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,486) = 2

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

GCF(40,486) x common factors =2 x 1 = 2

LCM(40,486) = ( 40 × 486 ) / 2

LCM(40,486) = 19440 / 2

LCM(40,486) = 9720


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 8919/40, 9991/486

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 8919/40, 9991/486?

Answer: GCF of Numerators as per given numbers 8919/40, 9991/486 is

GCF of Numerators i.e. for 8919,9991 is 1

LCM of denominators i.e. for 40,486 is 9720.

Thus, GCF of Fractions is 1/9720.Finally, GCF of Fractions for 8919/40, 9991/486 is 1/9720.