Greatest Common Factor of 5027/21, 3273/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5027/21, 3273/873

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 5027/21,3273/873

Given fractions are 5027/21,3273/873

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 5027,3273

Greatest Common Factor of Numerators i.e. GCF of 5027,3273 is 1 .

LCM of Denominators means LCM of 21,873 as per the given fractions.

LCM of 21,873 is 6111 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5027,3273

GCF of Fractions 5027/21,3273/873 is 1/6111

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

Greatest Common Factor of 5027,3273 By Matching Biggest Common Factor Method

Greatest Common Factor of 5027,3273 By Matching Biggest Common Factor Method

Factors of 5027

List of positive integer factors of 5027 that divides 5027 without a remainder.

1,11,457,5027

Factors of 3273

List of positive integer factors of 3273 that divides 3273 without a remainder.

1,3,1091,3273

Greatest Common Factor

We found the factors 5027,3273 . The biggest common factor number is the GCF number.
So the greatest common factor 5027,3273 is 1.


Lets's calculate LCM of 21,873

3 21, 873
7, 291

∴ So the LCM of the given numbers is 3 x 7 x 291 = 6111

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6111

Therefore, the GCF of Fractions 5027/21,3273/873 is 1/6111

Least Common Multiple of 21,873 with GCF Formula

Least Common Multiple of 21,873 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 21,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,873) = 3

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

GCF(21,873) x common factors =3 x 1 = 3

LCM(21,873) = ( 21 × 873 ) / 3

LCM(21,873) = 18333 / 3

LCM(21,873) = 6111


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5027/21, 3273/873

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 5027/21, 3273/873?

Answer: GCF of Numerators as per given numbers 5027/21, 3273/873 is

GCF of Numerators i.e. for 5027,3273 is 1

LCM of denominators i.e. for 21,873 is 6111.

Thus, GCF of Fractions is 1/6111.Finally, GCF of Fractions for 5027/21, 3273/873 is 1/6111.