Greatest Common Factor of 81/733, 893/541, 560/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/733, 893/541, 560/587

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 81/733,893/541,560/587

Given fractions are 81/733,893/541,560/587

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 81,893,560

Greatest Common Factor of Numerators i.e. GCF of 81,893,560 is 1 .

LCM of Denominators means LCM of 733,541,587 as per the given fractions.

LCM of 733,541,587 is 232776611 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,893,560

GCF of Fractions 81/733,893/541,560/587 is 1/232776611

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

Greatest Common Factor of 81,893,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,893,560 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 81,893,560 . The biggest common factor number is the GCF number.
So the greatest common factor 81,893,560 is 1.

Lets's calculate LCM of 733,541,587

Given numbers has no common factors except 1. So, there LCM is their product i.e 232776611

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232776611

Therefore, the GCF of Fractions 81/733,893/541,560/587 is 1/232776611

Least Common Multiple of 733,541,587 with GCF Formula

Least Common Multiple of 733,541,587 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 733,541,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,541,587) = 1

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

GCF(733,541,587) x common factors =1 x 1 = 1

LCM(733,541,587) = ( 733 × 541 × 587 ) / 1

LCM(733,541,587) = 232776611 / 1

LCM(733,541,587) = 232776611


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 81/733, 893/541, 560/587

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 81/733, 893/541, 560/587?

Answer: GCF of Numerators as per given numbers 81/733, 893/541, 560/587 is

GCF of Numerators i.e. for 81,893,560 is 1

LCM of denominators i.e. for 733,541,587 is 232776611.

Thus, GCF of Fractions is 1/232776611.Finally, GCF of Fractions for 81/733, 893/541, 560/587 is 1/232776611.