Greatest Common Factor of 8558/468, 5998/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8558/468, 5998/647

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 8558/468,5998/647

Given fractions are 8558/468,5998/647

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 8558,5998

Greatest Common Factor of Numerators i.e. GCF of 8558,5998 is 2 .

LCM of Denominators means LCM of 468,647 as per the given fractions.

LCM of 468,647 is 302796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8558,5998

GCF of Fractions 8558/468,5998/647 is 2/302796

2 8558, 5998
4279, 2999

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

Greatest Common Factor of 8558,5998 By Matching Biggest Common Factor Method

Greatest Common Factor of 8558,5998 By Matching Biggest Common Factor Method

Factors of 8558

List of positive integer factors of 8558 that divides 8558 without a remainder.

1,2,11,22,389,778,4279,8558

Factors of 5998

List of positive integer factors of 5998 that divides 5998 without a remainder.

1,2,2999,5998

Greatest Common Factor

We found the factors 8558,5998 . The biggest common factor number is the GCF number.
So the greatest common factor 8558,5998 is 2.

Lets's calculate LCM of 468,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 302796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/302796

Therefore, the GCF of Fractions 8558/468,5998/647 is 2/302796

Least Common Multiple of 468,647 with GCF Formula

Least Common Multiple of 468,647 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 468,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,647) = 1

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

GCF(468,647) x common factors =1 x 1 = 1

LCM(468,647) = ( 468 × 647 ) / 1

LCM(468,647) = 302796 / 1

LCM(468,647) = 302796


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 8558/468, 5998/647

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 8558/468, 5998/647?

Answer: GCF of Numerators as per given numbers 8558/468, 5998/647 is

GCF of Numerators i.e. for 8558,5998 is 2

LCM of denominators i.e. for 468,647 is 302796.

Thus, GCF of Fractions is 2/302796.Finally, GCF of Fractions for 8558/468, 5998/647 is 2/302796.