Greatest Common Factor of 558/29, 906/16, 267/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 558/29, 906/16, 267/40

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 558/29,906/16,267/40

Given fractions are 558/29,906/16,267/40

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 558,906,267

Greatest Common Factor of Numerators i.e. GCF of 558,906,267 is 3 .

LCM of Denominators means LCM of 29,16,40 as per the given fractions.

LCM of 29,16,40 is 2320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 558,906,267

GCF of Fractions 558/29,906/16,267/40 is 3/2320

3 558, 906, 267
186, 302, 89

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 558,906,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,906,267 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 558,906,267 . The biggest common factor number is the GCF number.
So the greatest common factor 558,906,267 is 3.

Lets's calculate LCM of 29,16,40

2 29, 16, 40
2 29, 8, 20
2 29, 4, 10
29, 2, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 2 x 5 = 2320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2320

Therefore, the GCF of Fractions 558/29,906/16,267/40 is 3/2320

Least Common Multiple of 29,16,40 with GCF Formula

Least Common Multiple of 29,16,40 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 29,16,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,16,40) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(29,16,40) x common factors =1 x 8 = 8

LCM(29,16,40) = ( 29 × 16 × 40 ) / 8

LCM(29,16,40) = 18560 / 8

LCM(29,16,40) = 2320


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 558/29, 906/16, 267/40

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 558/29, 906/16, 267/40?

Answer: GCF of Numerators as per given numbers 558/29, 906/16, 267/40 is

GCF of Numerators i.e. for 558,906,267 is 3

LCM of denominators i.e. for 29,16,40 is 2320.

Thus, GCF of Fractions is 3/2320.Finally, GCF of Fractions for 558/29, 906/16, 267/40 is 3/2320.