Greatest Common Factor of 3819/576, 5466/7231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3819/576, 5466/7231

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 3819/576,5466/7231

Given fractions are 3819/576,5466/7231

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 3819,5466

Greatest Common Factor of Numerators i.e. GCF of 3819,5466 is 3 .

LCM of Denominators means LCM of 576,7231 as per the given fractions.

LCM of 576,7231 is 4165056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3819,5466

GCF of Fractions 3819/576,5466/7231 is 3/4165056

3 3819, 5466
1273, 1822

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

Greatest Common Factor of 3819,5466 By Matching Biggest Common Factor Method

Greatest Common Factor of 3819,5466 By Matching Biggest Common Factor Method

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1,3,19,57,67,201,1273,3819

Factors of 5466

List of positive integer factors of 5466 that divides 5466 without a remainder.

1,2,3,6,911,1822,2733,5466

Greatest Common Factor

We found the factors 3819,5466 . The biggest common factor number is the GCF number.
So the greatest common factor 3819,5466 is 3.

Lets's calculate LCM of 576,7231

Given numbers has no common factors except 1. So, there LCM is their product i.e 4165056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4165056

Therefore, the GCF of Fractions 3819/576,5466/7231 is 3/4165056

Least Common Multiple of 576,7231 with GCF Formula

Least Common Multiple of 576,7231 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 576,7231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,7231) = 1

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

GCF(576,7231) x common factors =1 x 1 = 1

LCM(576,7231) = ( 576 × 7231 ) / 1

LCM(576,7231) = 4165056 / 1

LCM(576,7231) = 4165056


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 3819/576, 5466/7231

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 3819/576, 5466/7231?

Answer: GCF of Numerators as per given numbers 3819/576, 5466/7231 is

GCF of Numerators i.e. for 3819,5466 is 3

LCM of denominators i.e. for 576,7231 is 4165056.

Thus, GCF of Fractions is 3/4165056.Finally, GCF of Fractions for 3819/576, 5466/7231 is 3/4165056.