Greatest Common Factor of 9986/309, 8774/8516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9986/309, 8774/8516

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 9986/309,8774/8516

Given fractions are 9986/309,8774/8516

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 9986,8774

Greatest Common Factor of Numerators i.e. GCF of 9986,8774 is 2 .

LCM of Denominators means LCM of 309,8516 as per the given fractions.

LCM of 309,8516 is 2631444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9986,8774

GCF of Fractions 9986/309,8774/8516 is 2/2631444

2 9986, 8774
4993, 4387

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

Greatest Common Factor of 9986,8774 By Matching Biggest Common Factor Method

Greatest Common Factor of 9986,8774 By Matching Biggest Common Factor Method

Factors of 9986

List of positive integer factors of 9986 that divides 9986 without a remainder.

1,2,4993,9986

Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1,2,41,82,107,214,4387,8774

Greatest Common Factor

We found the factors 9986,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 9986,8774 is 2.

Lets's calculate LCM of 309,8516

Given numbers has no common factors except 1. So, there LCM is their product i.e 2631444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2631444

Therefore, the GCF of Fractions 9986/309,8774/8516 is 2/2631444

Least Common Multiple of 309,8516 with GCF Formula

Least Common Multiple of 309,8516 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 309,8516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,8516) = 1

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

GCF(309,8516) x common factors =1 x 1 = 1

LCM(309,8516) = ( 309 × 8516 ) / 1

LCM(309,8516) = 2631444 / 1

LCM(309,8516) = 2631444


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 9986/309, 8774/8516

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 9986/309, 8774/8516?

Answer: GCF of Numerators as per given numbers 9986/309, 8774/8516 is

GCF of Numerators i.e. for 9986,8774 is 2

LCM of denominators i.e. for 309,8516 is 2631444.

Thus, GCF of Fractions is 2/2631444.Finally, GCF of Fractions for 9986/309, 8774/8516 is 2/2631444.