Greatest Common Factor of 997/22, 749/81, 215/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 997/22, 749/81, 215/27

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 997/22,749/81,215/27

Given fractions are 997/22,749/81,215/27

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 997,749,215

Greatest Common Factor of Numerators i.e. GCF of 997,749,215 is 1 .

LCM of Denominators means LCM of 22,81,27 as per the given fractions.

LCM of 22,81,27 is 1782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 997,749,215

GCF of Fractions 997/22,749/81,215/27 is 1/1782

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

Greatest Common Factor of 997,749,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,749,215 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 997,749,215 . The biggest common factor number is the GCF number.
So the greatest common factor 997,749,215 is 1.

Lets's calculate LCM of 22,81,27

3 22, 81, 27
3 22, 27, 9
3 22, 3, 9
22, 1, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 22 x 1 x 3 = 1782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1782

Therefore, the GCF of Fractions 997/22,749/81,215/27 is 1/1782

Least Common Multiple of 22,81,27 with GCF Formula

Least Common Multiple of 22,81,27 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 22,81,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,81,27) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(22,81,27) x common factors =1 x 27 = 27

LCM(22,81,27) = ( 22 × 81 × 27 ) / 27

LCM(22,81,27) = 48114 / 27

LCM(22,81,27) = 1782


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 997/22, 749/81, 215/27

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 997/22, 749/81, 215/27?

Answer: GCF of Numerators as per given numbers 997/22, 749/81, 215/27 is

GCF of Numerators i.e. for 997,749,215 is 1

LCM of denominators i.e. for 22,81,27 is 1782.

Thus, GCF of Fractions is 1/1782.Finally, GCF of Fractions for 997/22, 749/81, 215/27 is 1/1782.