Greatest Common Factor of 600/75, 8984/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 600/75, 8984/731

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 600/75,8984/731

Given fractions are 600/75,8984/731

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 600,8984

Greatest Common Factor of Numerators i.e. GCF of 600,8984 is 8 .

LCM of Denominators means LCM of 75,731 as per the given fractions.

LCM of 75,731 is 54825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 600,8984

GCF of Fractions 600/75,8984/731 is 8/54825

2 600, 8984
2 300, 4492
2 150, 2246
75, 1123

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 600,8984 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,8984 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors 600,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 600,8984 is 8.

Lets's calculate LCM of 75,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 54825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/54825

Therefore, the GCF of Fractions 600/75,8984/731 is 8/54825

Least Common Multiple of 75,731 with GCF Formula

Least Common Multiple of 75,731 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 75,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,731) = 1

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

GCF(75,731) x common factors =1 x 1 = 1

LCM(75,731) = ( 75 × 731 ) / 1

LCM(75,731) = 54825 / 1

LCM(75,731) = 54825


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 600/75, 8984/731

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 600/75, 8984/731?

Answer: GCF of Numerators as per given numbers 600/75, 8984/731 is

GCF of Numerators i.e. for 600,8984 is 8

LCM of denominators i.e. for 75,731 is 54825.

Thus, GCF of Fractions is 8/54825.Finally, GCF of Fractions for 600/75, 8984/731 is 8/54825.