Greatest Common Factor of 9542/99, 4000/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9542/99, 4000/324

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 9542/99,4000/324

Given fractions are 9542/99,4000/324

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 9542,4000

Greatest Common Factor of Numerators i.e. GCF of 9542,4000 is 2 .

LCM of Denominators means LCM of 99,324 as per the given fractions.

LCM of 99,324 is 3564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9542,4000

GCF of Fractions 9542/99,4000/324 is 2/3564

2 9542, 4000
4771, 2000

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

Greatest Common Factor of 9542,4000 By Matching Biggest Common Factor Method

Greatest Common Factor of 9542,4000 By Matching Biggest Common Factor Method

Factors of 9542

List of positive integer factors of 9542 that divides 9542 without a remainder.

1,2,13,26,367,734,4771,9542

Factors of 4000

List of positive integer factors of 4000 that divides 4000 without a remainder.

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

Greatest Common Factor

We found the factors 9542,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 9542,4000 is 2.

Lets's calculate LCM of 99,324

3 99, 324
3 33, 108
11, 36

∴ So the LCM of the given numbers is 3 x 3 x 11 x 36 = 3564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3564

Therefore, the GCF of Fractions 9542/99,4000/324 is 2/3564

Least Common Multiple of 99,324 with GCF Formula

Least Common Multiple of 99,324 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 99,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,324) = 9

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

GCF(99,324) x common factors =9 x 1 = 9

LCM(99,324) = ( 99 × 324 ) / 9

LCM(99,324) = 32076 / 9

LCM(99,324) = 3564


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 9542/99, 4000/324

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 9542/99, 4000/324?

Answer: GCF of Numerators as per given numbers 9542/99, 4000/324 is

GCF of Numerators i.e. for 9542,4000 is 2

LCM of denominators i.e. for 99,324 is 3564.

Thus, GCF of Fractions is 2/3564.Finally, GCF of Fractions for 9542/99, 4000/324 is 2/3564.