Greatest Common Factor of 561/27, 286/68, 407/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/27, 286/68, 407/471

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 561/27,286/68,407/471

Given fractions are 561/27,286/68,407/471

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 561,286,407

Greatest Common Factor of Numerators i.e. GCF of 561,286,407 is 11 .

LCM of Denominators means LCM of 27,68,471 as per the given fractions.

LCM of 27,68,471 is 288252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,286,407

GCF of Fractions 561/27,286/68,407/471 is 11/288252

11 561, 286, 407
51, 26, 37

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 561,286,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,286,407 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 561,286,407 . The biggest common factor number is the GCF number.
So the greatest common factor 561,286,407 is 11.

Lets's calculate LCM of 27,68,471

3 27, 68, 471
9, 68, 157

∴ So the LCM of the given numbers is 3 x 9 x 68 x 157 = 288252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/288252

Therefore, the GCF of Fractions 561/27,286/68,407/471 is 11/288252

Least Common Multiple of 27,68,471 with GCF Formula

Least Common Multiple of 27,68,471 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 27,68,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,68,471) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,68,471) x common factors =1 x 3 = 3

LCM(27,68,471) = ( 27 × 68 × 471 ) / 3

LCM(27,68,471) = 864756 / 3

LCM(27,68,471) = 288252


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 561/27, 286/68, 407/471

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 561/27, 286/68, 407/471?

Answer: GCF of Numerators as per given numbers 561/27, 286/68, 407/471 is

GCF of Numerators i.e. for 561,286,407 is 11

LCM of denominators i.e. for 27,68,471 is 288252.

Thus, GCF of Fractions is 11/288252.Finally, GCF of Fractions for 561/27, 286/68, 407/471 is 11/288252.