Greatest Common Factor of 7437/41, 6015/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7437/41, 6015/983

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 7437/41,6015/983

Given fractions are 7437/41,6015/983

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 7437,6015

Greatest Common Factor of Numerators i.e. GCF of 7437,6015 is 3 .

LCM of Denominators means LCM of 41,983 as per the given fractions.

LCM of 41,983 is 40303 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7437,6015

GCF of Fractions 7437/41,6015/983 is 3/40303

3 7437, 6015
2479, 2005

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

Greatest Common Factor of 7437,6015 By Matching Biggest Common Factor Method

Greatest Common Factor of 7437,6015 By Matching Biggest Common Factor Method

Factors of 7437

List of positive integer factors of 7437 that divides 7437 without a remainder.

1,3,37,67,111,201,2479,7437

Factors of 6015

List of positive integer factors of 6015 that divides 6015 without a remainder.

1,3,5,15,401,1203,2005,6015

Greatest Common Factor

We found the factors 7437,6015 . The biggest common factor number is the GCF number.
So the greatest common factor 7437,6015 is 3.

Lets's calculate LCM of 41,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 40303

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40303

Therefore, the GCF of Fractions 7437/41,6015/983 is 3/40303

Least Common Multiple of 41,983 with GCF Formula

Least Common Multiple of 41,983 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 41,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,983) = 1

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

GCF(41,983) x common factors =1 x 1 = 1

LCM(41,983) = ( 41 × 983 ) / 1

LCM(41,983) = 40303 / 1

LCM(41,983) = 40303


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 7437/41, 6015/983

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 7437/41, 6015/983?

Answer: GCF of Numerators as per given numbers 7437/41, 6015/983 is

GCF of Numerators i.e. for 7437,6015 is 3

LCM of denominators i.e. for 41,983 is 40303.

Thus, GCF of Fractions is 3/40303.Finally, GCF of Fractions for 7437/41, 6015/983 is 3/40303.