Greatest Common Factor of 533/32, 193/21, 142/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 533/32, 193/21, 142/90

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 533/32,193/21,142/90

Given fractions are 533/32,193/21,142/90

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 533,193,142

Greatest Common Factor of Numerators i.e. GCF of 533,193,142 is 1 .

LCM of Denominators means LCM of 32,21,90 as per the given fractions.

LCM of 32,21,90 is 10080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 533,193,142

GCF of Fractions 533/32,193/21,142/90 is 1/10080

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

Greatest Common Factor of 533,193,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,193,142 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 533,193,142 . The biggest common factor number is the GCF number.
So the greatest common factor 533,193,142 is 1.

Lets's calculate LCM of 32,21,90

2 32, 21, 90
3 16, 21, 45
16, 7, 15

∴ So the LCM of the given numbers is 2 x 3 x 16 x 7 x 15 = 10080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10080

Therefore, the GCF of Fractions 533/32,193/21,142/90 is 1/10080

Least Common Multiple of 32,21,90 with GCF Formula

Least Common Multiple of 32,21,90 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 32,21,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,21,90) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(32,21,90) x common factors =1 x 6 = 6

LCM(32,21,90) = ( 32 × 21 × 90 ) / 6

LCM(32,21,90) = 60480 / 6

LCM(32,21,90) = 10080


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 533/32, 193/21, 142/90

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 533/32, 193/21, 142/90?

Answer: GCF of Numerators as per given numbers 533/32, 193/21, 142/90 is

GCF of Numerators i.e. for 533,193,142 is 1

LCM of denominators i.e. for 32,21,90 is 10080.

Thus, GCF of Fractions is 1/10080.Finally, GCF of Fractions for 533/32, 193/21, 142/90 is 1/10080.