Greatest Common Factor of 215/72, 588/69, 954/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 215/72, 588/69, 954/45

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 215/72,588/69,954/45

Given fractions are 215/72,588/69,954/45

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 215,588,954

Greatest Common Factor of Numerators i.e. GCF of 215,588,954 is 1 .

LCM of Denominators means LCM of 72,69,45 as per the given fractions.

LCM of 72,69,45 is 8280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 215,588,954

GCF of Fractions 215/72,588/69,954/45 is 1/8280

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

Greatest Common Factor of 215,588,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,588,954 By Matching Biggest Common Factor Method

Factors of 215

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

1,5,43,215

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 215,588,954 . The biggest common factor number is the GCF number.
So the greatest common factor 215,588,954 is 1.

Lets's calculate LCM of 72,69,45

3 72, 69, 45
3 24, 23, 15
8, 23, 5

∴ So the LCM of the given numbers is 3 x 3 x 8 x 23 x 5 = 8280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8280

Therefore, the GCF of Fractions 215/72,588/69,954/45 is 1/8280

Least Common Multiple of 72,69,45 with GCF Formula

Least Common Multiple of 72,69,45 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 72,69,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,69,45) = 3

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

GCF(72,69,45) x common factors =3 x 9 = 27

LCM(72,69,45) = ( 72 × 69 × 45 ) / 27

LCM(72,69,45) = 223560 / 27

LCM(72,69,45) = 8280


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 215/72, 588/69, 954/45

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 215/72, 588/69, 954/45?

Answer: GCF of Numerators as per given numbers 215/72, 588/69, 954/45 is

GCF of Numerators i.e. for 215,588,954 is 1

LCM of denominators i.e. for 72,69,45 is 8280.

Thus, GCF of Fractions is 1/8280.Finally, GCF of Fractions for 215/72, 588/69, 954/45 is 1/8280.