Greatest Common Factor of 9345/37, 4383/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9345/37, 4383/561

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 9345/37,4383/561

Given fractions are 9345/37,4383/561

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 9345,4383

Greatest Common Factor of Numerators i.e. GCF of 9345,4383 is 3 .

LCM of Denominators means LCM of 37,561 as per the given fractions.

LCM of 37,561 is 20757 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9345,4383

GCF of Fractions 9345/37,4383/561 is 3/20757

3 9345, 4383
3115, 1461

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9345,4383 By Matching Biggest Common Factor Method

Greatest Common Factor of 9345,4383 By Matching Biggest Common Factor Method

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345

Factors of 4383

List of positive integer factors of 4383 that divides 4383 without a remainder.

1,3,9,487,1461,4383

Greatest Common Factor

We found the factors 9345,4383 . The biggest common factor number is the GCF number.
So the greatest common factor 9345,4383 is 3.

Lets's calculate LCM of 37,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 20757

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20757

Therefore, the GCF of Fractions 9345/37,4383/561 is 3/20757

Least Common Multiple of 37,561 with GCF Formula

Least Common Multiple of 37,561 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 37,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,561) = 1

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

GCF(37,561) x common factors =1 x 1 = 1

LCM(37,561) = ( 37 × 561 ) / 1

LCM(37,561) = 20757 / 1

LCM(37,561) = 20757


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 9345/37, 4383/561

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 9345/37, 4383/561?

Answer: GCF of Numerators as per given numbers 9345/37, 4383/561 is

GCF of Numerators i.e. for 9345,4383 is 3

LCM of denominators i.e. for 37,561 is 20757.

Thus, GCF of Fractions is 3/20757.Finally, GCF of Fractions for 9345/37, 4383/561 is 3/20757.