Greatest Common Factor of 6024/80, 9398/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6024/80, 9398/397

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 6024/80,9398/397

Given fractions are 6024/80,9398/397

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 6024,9398

Greatest Common Factor of Numerators i.e. GCF of 6024,9398 is 2 .

LCM of Denominators means LCM of 80,397 as per the given fractions.

LCM of 80,397 is 31760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6024,9398

GCF of Fractions 6024/80,9398/397 is 2/31760

2 6024, 9398
3012, 4699

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

Greatest Common Factor of 6024,9398 By Matching Biggest Common Factor Method

Greatest Common Factor of 6024,9398 By Matching Biggest Common Factor Method

Factors of 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024

Factors of 9398

List of positive integer factors of 9398 that divides 9398 without a remainder.

1,2,37,74,127,254,4699,9398

Greatest Common Factor

We found the factors 6024,9398 . The biggest common factor number is the GCF number.
So the greatest common factor 6024,9398 is 2.

Lets's calculate LCM of 80,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 31760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31760

Therefore, the GCF of Fractions 6024/80,9398/397 is 2/31760

Least Common Multiple of 80,397 with GCF Formula

Least Common Multiple of 80,397 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 80,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,397) = 1

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

GCF(80,397) x common factors =1 x 1 = 1

LCM(80,397) = ( 80 × 397 ) / 1

LCM(80,397) = 31760 / 1

LCM(80,397) = 31760


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 6024/80, 9398/397

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 6024/80, 9398/397?

Answer: GCF of Numerators as per given numbers 6024/80, 9398/397 is

GCF of Numerators i.e. for 6024,9398 is 2

LCM of denominators i.e. for 80,397 is 31760.

Thus, GCF of Fractions is 2/31760.Finally, GCF of Fractions for 6024/80, 9398/397 is 2/31760.