Greatest Common Factor of 7337/180, 1013/4104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7337/180, 1013/4104

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 7337/180,1013/4104

Given fractions are 7337/180,1013/4104

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 7337,1013

Greatest Common Factor of Numerators i.e. GCF of 7337,1013 is 1 .

LCM of Denominators means LCM of 180,4104 as per the given fractions.

LCM of 180,4104 is 20520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7337,1013

GCF of Fractions 7337/180,1013/4104 is 1/20520

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7337,1013 By Matching Biggest Common Factor Method

Greatest Common Factor of 7337,1013 By Matching Biggest Common Factor Method

Factors of 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1,11,23,29,253,319,667,7337

Factors of 1013

List of positive integer factors of 1013 that divides 1013 without a remainder.

1,1013

Greatest Common Factor

We found the factors 7337,1013 . The biggest common factor number is the GCF number.
So the greatest common factor 7337,1013 is 1.

Lets's calculate LCM of 180,4104

2 180, 4104
2 90, 2052
3 45, 1026
3 15, 342
5, 114

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 114 = 20520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20520

Therefore, the GCF of Fractions 7337/180,1013/4104 is 1/20520

Least Common Multiple of 180,4104 with GCF Formula

Least Common Multiple of 180,4104 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 180,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,4104) = 36

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

GCF(180,4104) x common factors =36 x 1 = 36

LCM(180,4104) = ( 180 × 4104 ) / 36

LCM(180,4104) = 738720 / 36

LCM(180,4104) = 20520


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 7337/180, 1013/4104

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 7337/180, 1013/4104?

Answer: GCF of Numerators as per given numbers 7337/180, 1013/4104 is

GCF of Numerators i.e. for 7337,1013 is 1

LCM of denominators i.e. for 180,4104 is 20520.

Thus, GCF of Fractions is 1/20520.Finally, GCF of Fractions for 7337/180, 1013/4104 is 1/20520.