Greatest Common Factor of 3673/580, 4796/1814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3673/580, 4796/1814

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 3673/580,4796/1814

Given fractions are 3673/580,4796/1814

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 3673,4796

Greatest Common Factor of Numerators i.e. GCF of 3673,4796 is 1 .

LCM of Denominators means LCM of 580,1814 as per the given fractions.

LCM of 580,1814 is 526060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3673,4796

GCF of Fractions 3673/580,4796/1814 is 1/526060

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

Greatest Common Factor of 3673,4796 By Matching Biggest Common Factor Method

Greatest Common Factor of 3673,4796 By Matching Biggest Common Factor Method

Factors of 3673

List of positive integer factors of 3673 that divides 3673 without a remainder.

1,3673

Factors of 4796

List of positive integer factors of 4796 that divides 4796 without a remainder.

1,2,4,11,22,44,109,218,436,1199,2398,4796

Greatest Common Factor

We found the factors 3673,4796 . The biggest common factor number is the GCF number.
So the greatest common factor 3673,4796 is 1.

Lets's calculate LCM of 580,1814

2 580, 1814
290, 907

∴ So the LCM of the given numbers is 2 x 290 x 907 = 526060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526060

Therefore, the GCF of Fractions 3673/580,4796/1814 is 1/526060

Least Common Multiple of 580,1814 with GCF Formula

Least Common Multiple of 580,1814 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 580,1814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,1814) = 2

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

GCF(580,1814) x common factors =2 x 1 = 2

LCM(580,1814) = ( 580 × 1814 ) / 2

LCM(580,1814) = 1052120 / 2

LCM(580,1814) = 526060


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 3673/580, 4796/1814

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 3673/580, 4796/1814?

Answer: GCF of Numerators as per given numbers 3673/580, 4796/1814 is

GCF of Numerators i.e. for 3673,4796 is 1

LCM of denominators i.e. for 580,1814 is 526060.

Thus, GCF of Fractions is 1/526060.Finally, GCF of Fractions for 3673/580, 4796/1814 is 1/526060.