Greatest Common Factor of 4533/45, 7522/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4533/45, 7522/684

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 4533/45,7522/684

Given fractions are 4533/45,7522/684

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 4533,7522

Greatest Common Factor of Numerators i.e. GCF of 4533,7522 is 1 .

LCM of Denominators means LCM of 45,684 as per the given fractions.

LCM of 45,684 is 3420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4533,7522

GCF of Fractions 4533/45,7522/684 is 1/3420

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

Greatest Common Factor of 4533,7522 By Matching Biggest Common Factor Method

Greatest Common Factor of 4533,7522 By Matching Biggest Common Factor Method

Factors of 4533

List of positive integer factors of 4533 that divides 4533 without a remainder.

1,3,1511,4533

Factors of 7522

List of positive integer factors of 7522 that divides 7522 without a remainder.

1,2,3761,7522

Greatest Common Factor

We found the factors 4533,7522 . The biggest common factor number is the GCF number.
So the greatest common factor 4533,7522 is 1.

Lets's calculate LCM of 45,684

3 45, 684
3 15, 228
5, 76

∴ So the LCM of the given numbers is 3 x 3 x 5 x 76 = 3420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3420

Therefore, the GCF of Fractions 4533/45,7522/684 is 1/3420

Least Common Multiple of 45,684 with GCF Formula

Least Common Multiple of 45,684 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 45,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,684) = 9

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

GCF(45,684) x common factors =9 x 1 = 9

LCM(45,684) = ( 45 × 684 ) / 9

LCM(45,684) = 30780 / 9

LCM(45,684) = 3420


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 4533/45, 7522/684

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 4533/45, 7522/684?

Answer: GCF of Numerators as per given numbers 4533/45, 7522/684 is

GCF of Numerators i.e. for 4533,7522 is 1

LCM of denominators i.e. for 45,684 is 3420.

Thus, GCF of Fractions is 1/3420.Finally, GCF of Fractions for 4533/45, 7522/684 is 1/3420.