Greatest Common Factor of 466/5787, 309/4082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/5787, 309/4082

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 466/5787,309/4082

Given fractions are 466/5787,309/4082

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 466,309

Greatest Common Factor of Numerators i.e. GCF of 466,309 is 1 .

LCM of Denominators means LCM of 5787,4082 as per the given fractions.

LCM of 5787,4082 is 23622534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,309

GCF of Fractions 466/5787,309/4082 is 1/23622534

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

Greatest Common Factor of 466,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,309 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 466,309 . The biggest common factor number is the GCF number.
So the greatest common factor 466,309 is 1.

Lets's calculate LCM of 5787,4082

Given numbers has no common factors except 1. So, there LCM is their product i.e 23622534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23622534

Therefore, the GCF of Fractions 466/5787,309/4082 is 1/23622534

Least Common Multiple of 5787,4082 with GCF Formula

Least Common Multiple of 5787,4082 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 5787,4082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5787,4082) = 1

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

GCF(5787,4082) x common factors =1 x 1 = 1

LCM(5787,4082) = ( 5787 × 4082 ) / 1

LCM(5787,4082) = 23622534 / 1

LCM(5787,4082) = 23622534


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 466/5787, 309/4082

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 466/5787, 309/4082?

Answer: GCF of Numerators as per given numbers 466/5787, 309/4082 is

GCF of Numerators i.e. for 466,309 is 1

LCM of denominators i.e. for 5787,4082 is 23622534.

Thus, GCF of Fractions is 1/23622534.Finally, GCF of Fractions for 466/5787, 309/4082 is 1/23622534.