Greatest Common Factor of 81/93, 313/36, 975/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/93, 313/36, 975/586

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 81/93,313/36,975/586

Given fractions are 81/93,313/36,975/586

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 81,313,975

Greatest Common Factor of Numerators i.e. GCF of 81,313,975 is 1 .

LCM of Denominators means LCM of 93,36,586 as per the given fractions.

LCM of 93,36,586 is 326988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,313,975

GCF of Fractions 81/93,313/36,975/586 is 1/326988

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

Greatest Common Factor of 81,313,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,313,975 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 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 81,313,975 . The biggest common factor number is the GCF number.
So the greatest common factor 81,313,975 is 1.

Lets's calculate LCM of 93,36,586

2 93, 36, 586
3 93, 18, 293
31, 6, 293

∴ So the LCM of the given numbers is 2 x 3 x 31 x 6 x 293 = 326988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326988

Therefore, the GCF of Fractions 81/93,313/36,975/586 is 1/326988

Least Common Multiple of 93,36,586 with GCF Formula

Least Common Multiple of 93,36,586 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 93,36,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,36,586) = 1

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

GCF(93,36,586) x common factors =1 x 6 = 6

LCM(93,36,586) = ( 93 × 36 × 586 ) / 6

LCM(93,36,586) = 1961928 / 6

LCM(93,36,586) = 326988


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 81/93, 313/36, 975/586

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 81/93, 313/36, 975/586?

Answer: GCF of Numerators as per given numbers 81/93, 313/36, 975/586 is

GCF of Numerators i.e. for 81,313,975 is 1

LCM of denominators i.e. for 93,36,586 is 326988.

Thus, GCF of Fractions is 1/326988.Finally, GCF of Fractions for 81/93, 313/36, 975/586 is 1/326988.