Greatest Common Factor of 59/75, 82/89, 45/93, 70/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/75, 82/89, 45/93, 70/291

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 59/75,82/89,45/93,70/291

Given fractions are 59/75,82/89,45/93,70/291

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 59,82,45,70

Greatest Common Factor of Numerators i.e. GCF of 59,82,45,70 is 1 .

LCM of Denominators means LCM of 75,89,93,291 as per the given fractions.

LCM of 75,89,93,291 is 20071725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,82,45,70

GCF of Fractions 59/75,82/89,45/93,70/291 is 1/20071725

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

Greatest Common Factor of 59,82,45,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,82,45,70 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 59,82,45,70 . The biggest common factor number is the GCF number.
So the greatest common factor 59,82,45,70 is 1.

Lets's calculate LCM of 75,89,93,291

3 75, 89, 93, 291
25, 89, 31, 97

∴ So the LCM of the given numbers is 3 x 25 x 89 x 31 x 97 = 20071725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20071725

Therefore, the GCF of Fractions 59/75,82/89,45/93,70/291 is 1/20071725

Least Common Multiple of 75,89,93,291 with GCF Formula

Least Common Multiple of 75,89,93,291 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 75,89,93,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,89,93,291) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(75,89,93,291) x common factors =1 x 9 = 9

LCM(75,89,93,291) = ( 75 × 89 × 93 × 291 ) / 9

LCM(75,89,93,291) = 180645525 / 9

LCM(75,89,93,291) = 20071725


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 59/75, 82/89, 45/93, 70/291

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 59/75, 82/89, 45/93, 70/291?

Answer: GCF of Numerators as per given numbers 59/75, 82/89, 45/93, 70/291 is

GCF of Numerators i.e. for 59,82,45,70 is 1

LCM of denominators i.e. for 75,89,93,291 is 20071725.

Thus, GCF of Fractions is 1/20071725.Finally, GCF of Fractions for 59/75, 82/89, 45/93, 70/291 is 1/20071725.