Greatest Common Factor of 5221/75, 4333/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5221/75, 4333/747

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 5221/75,4333/747

Given fractions are 5221/75,4333/747

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 5221,4333

Greatest Common Factor of Numerators i.e. GCF of 5221,4333 is 1 .

LCM of Denominators means LCM of 75,747 as per the given fractions.

LCM of 75,747 is 18675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5221,4333

GCF of Fractions 5221/75,4333/747 is 1/18675

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

Greatest Common Factor of 5221,4333 By Matching Biggest Common Factor Method

Greatest Common Factor of 5221,4333 By Matching Biggest Common Factor Method

Factors of 5221

List of positive integer factors of 5221 that divides 5221 without a remainder.

1,23,227,5221

Factors of 4333

List of positive integer factors of 4333 that divides 4333 without a remainder.

1,7,619,4333

Greatest Common Factor

We found the factors 5221,4333 . The biggest common factor number is the GCF number.
So the greatest common factor 5221,4333 is 1.

Lets's calculate LCM of 75,747

3 75, 747
25, 249

∴ So the LCM of the given numbers is 3 x 25 x 249 = 18675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18675

Therefore, the GCF of Fractions 5221/75,4333/747 is 1/18675

Least Common Multiple of 75,747 with GCF Formula

Least Common Multiple of 75,747 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 75,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,747) = 3

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

GCF(75,747) x common factors =3 x 1 = 3

LCM(75,747) = ( 75 × 747 ) / 3

LCM(75,747) = 56025 / 3

LCM(75,747) = 18675


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 5221/75, 4333/747

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 5221/75, 4333/747?

Answer: GCF of Numerators as per given numbers 5221/75, 4333/747 is

GCF of Numerators i.e. for 5221,4333 is 1

LCM of denominators i.e. for 75,747 is 18675.

Thus, GCF of Fractions is 1/18675.Finally, GCF of Fractions for 5221/75, 4333/747 is 1/18675.