Greatest Common Factor of 4023/467, 5321/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4023/467, 5321/682

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 4023/467,5321/682

Given fractions are 4023/467,5321/682

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 4023,5321

Greatest Common Factor of Numerators i.e. GCF of 4023,5321 is 1 .

LCM of Denominators means LCM of 467,682 as per the given fractions.

LCM of 467,682 is 318494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4023,5321

GCF of Fractions 4023/467,5321/682 is 1/318494

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

Greatest Common Factor of 4023,5321 By Matching Biggest Common Factor Method

Greatest Common Factor of 4023,5321 By Matching Biggest Common Factor Method

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1,3,9,27,149,447,1341,4023

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1,17,313,5321

Greatest Common Factor

We found the factors 4023,5321 . The biggest common factor number is the GCF number.
So the greatest common factor 4023,5321 is 1.

Lets's calculate LCM of 467,682

Given numbers has no common factors except 1. So, there LCM is their product i.e 318494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318494

Therefore, the GCF of Fractions 4023/467,5321/682 is 1/318494

Least Common Multiple of 467,682 with GCF Formula

Least Common Multiple of 467,682 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 467,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,682) = 1

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

GCF(467,682) x common factors =1 x 1 = 1

LCM(467,682) = ( 467 × 682 ) / 1

LCM(467,682) = 318494 / 1

LCM(467,682) = 318494


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 4023/467, 5321/682

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 4023/467, 5321/682?

Answer: GCF of Numerators as per given numbers 4023/467, 5321/682 is

GCF of Numerators i.e. for 4023,5321 is 1

LCM of denominators i.e. for 467,682 is 318494.

Thus, GCF of Fractions is 1/318494.Finally, GCF of Fractions for 4023/467, 5321/682 is 1/318494.