Greatest Common Factor of 4580/721, 1186/3673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4580/721, 1186/3673

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 4580/721,1186/3673

Given fractions are 4580/721,1186/3673

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 4580,1186

Greatest Common Factor of Numerators i.e. GCF of 4580,1186 is 2 .

LCM of Denominators means LCM of 721,3673 as per the given fractions.

LCM of 721,3673 is 2648233 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4580,1186

GCF of Fractions 4580/721,1186/3673 is 2/2648233

2 4580, 1186
2290, 593

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

Greatest Common Factor of 4580,1186 By Matching Biggest Common Factor Method

Greatest Common Factor of 4580,1186 By Matching Biggest Common Factor Method

Factors of 4580

List of positive integer factors of 4580 that divides 4580 without a remainder.

1,2,4,5,10,20,229,458,916,1145,2290,4580

Factors of 1186

List of positive integer factors of 1186 that divides 1186 without a remainder.

1,2,593,1186

Greatest Common Factor

We found the factors 4580,1186 . The biggest common factor number is the GCF number.
So the greatest common factor 4580,1186 is 2.

Lets's calculate LCM of 721,3673

Given numbers has no common factors except 1. So, there LCM is their product i.e 2648233

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2648233

Therefore, the GCF of Fractions 4580/721,1186/3673 is 2/2648233

Least Common Multiple of 721,3673 with GCF Formula

Least Common Multiple of 721,3673 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 721,3673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,3673) = 1

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

GCF(721,3673) x common factors =1 x 1 = 1

LCM(721,3673) = ( 721 × 3673 ) / 1

LCM(721,3673) = 2648233 / 1

LCM(721,3673) = 2648233


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 4580/721, 1186/3673

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 4580/721, 1186/3673?

Answer: GCF of Numerators as per given numbers 4580/721, 1186/3673 is

GCF of Numerators i.e. for 4580,1186 is 2

LCM of denominators i.e. for 721,3673 is 2648233.

Thus, GCF of Fractions is 2/2648233.Finally, GCF of Fractions for 4580/721, 1186/3673 is 2/2648233.