Greatest Common Factor of 304/99, 558/6734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 304/99, 558/6734

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 304/99,558/6734

Given fractions are 304/99,558/6734

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 304,558

Greatest Common Factor of Numerators i.e. GCF of 304,558 is 2 .

LCM of Denominators means LCM of 99,6734 as per the given fractions.

LCM of 99,6734 is 666666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 304,558

GCF of Fractions 304/99,558/6734 is 2/666666

2 304, 558
152, 279

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

Greatest Common Factor of 304,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,558 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 304,558 . The biggest common factor number is the GCF number.
So the greatest common factor 304,558 is 2.

Lets's calculate LCM of 99,6734

Given numbers has no common factors except 1. So, there LCM is their product i.e 666666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/666666

Therefore, the GCF of Fractions 304/99,558/6734 is 2/666666

Least Common Multiple of 99,6734 with GCF Formula

Least Common Multiple of 99,6734 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 99,6734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,6734) = 1

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

GCF(99,6734) x common factors =1 x 1 = 1

LCM(99,6734) = ( 99 × 6734 ) / 1

LCM(99,6734) = 666666 / 1

LCM(99,6734) = 666666


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 304/99, 558/6734

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 304/99, 558/6734?

Answer: GCF of Numerators as per given numbers 304/99, 558/6734 is

GCF of Numerators i.e. for 304,558 is 2

LCM of denominators i.e. for 99,6734 is 666666.

Thus, GCF of Fractions is 2/666666.Finally, GCF of Fractions for 304/99, 558/6734 is 2/666666.