Greatest Common Factor of 581/43, 460/87, 680/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/43, 460/87, 680/33

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 581/43,460/87,680/33

Given fractions are 581/43,460/87,680/33

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 581,460,680

Greatest Common Factor of Numerators i.e. GCF of 581,460,680 is 1 .

LCM of Denominators means LCM of 43,87,33 as per the given fractions.

LCM of 43,87,33 is 41151 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,460,680

GCF of Fractions 581/43,460/87,680/33 is 1/41151

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

Greatest Common Factor of 581,460,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,460,680 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 581,460,680 . The biggest common factor number is the GCF number.
So the greatest common factor 581,460,680 is 1.

Lets's calculate LCM of 43,87,33

3 43, 87, 33
43, 29, 11

∴ So the LCM of the given numbers is 3 x 43 x 29 x 11 = 41151

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41151

Therefore, the GCF of Fractions 581/43,460/87,680/33 is 1/41151

Least Common Multiple of 43,87,33 with GCF Formula

Least Common Multiple of 43,87,33 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 43,87,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,87,33) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(43,87,33) x common factors =1 x 3 = 3

LCM(43,87,33) = ( 43 × 87 × 33 ) / 3

LCM(43,87,33) = 123453 / 3

LCM(43,87,33) = 41151


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 581/43, 460/87, 680/33

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 581/43, 460/87, 680/33?

Answer: GCF of Numerators as per given numbers 581/43, 460/87, 680/33 is

GCF of Numerators i.e. for 581,460,680 is 1

LCM of denominators i.e. for 43,87,33 is 41151.

Thus, GCF of Fractions is 1/41151.Finally, GCF of Fractions for 581/43, 460/87, 680/33 is 1/41151.