Greatest Common Factor of 8000/654, 9934/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8000/654, 9934/359

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 8000/654,9934/359

Given fractions are 8000/654,9934/359

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 8000,9934

Greatest Common Factor of Numerators i.e. GCF of 8000,9934 is 2 .

LCM of Denominators means LCM of 654,359 as per the given fractions.

LCM of 654,359 is 234786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8000,9934

GCF of Fractions 8000/654,9934/359 is 2/234786

2 8000, 9934
4000, 4967

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

Greatest Common Factor of 8000,9934 By Matching Biggest Common Factor Method

Greatest Common Factor of 8000,9934 By Matching Biggest Common Factor Method

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Greatest Common Factor

We found the factors 8000,9934 . The biggest common factor number is the GCF number.
So the greatest common factor 8000,9934 is 2.

Lets's calculate LCM of 654,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 234786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/234786

Therefore, the GCF of Fractions 8000/654,9934/359 is 2/234786

Least Common Multiple of 654,359 with GCF Formula

Least Common Multiple of 654,359 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 654,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,359) = 1

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

GCF(654,359) x common factors =1 x 1 = 1

LCM(654,359) = ( 654 × 359 ) / 1

LCM(654,359) = 234786 / 1

LCM(654,359) = 234786


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 8000/654, 9934/359

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 8000/654, 9934/359?

Answer: GCF of Numerators as per given numbers 8000/654, 9934/359 is

GCF of Numerators i.e. for 8000,9934 is 2

LCM of denominators i.e. for 654,359 is 234786.

Thus, GCF of Fractions is 2/234786.Finally, GCF of Fractions for 8000/654, 9934/359 is 2/234786.