Greatest Common Factor of 566/549, 434/786, 432/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 566/549, 434/786, 432/363

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 566/549,434/786,432/363

Given fractions are 566/549,434/786,432/363

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 566,434,432

Greatest Common Factor of Numerators i.e. GCF of 566,434,432 is 2 .

LCM of Denominators means LCM of 549,786,363 as per the given fractions.

LCM of 549,786,363 is 17404398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 566,434,432

GCF of Fractions 566/549,434/786,432/363 is 2/17404398

2 566, 434, 432
283, 217, 216

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 566,434,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,434,432 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 566,434,432 . The biggest common factor number is the GCF number.
So the greatest common factor 566,434,432 is 2.

Lets's calculate LCM of 549,786,363

3 549, 786, 363
183, 262, 121

∴ So the LCM of the given numbers is 3 x 183 x 262 x 121 = 17404398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17404398

Therefore, the GCF of Fractions 566/549,434/786,432/363 is 2/17404398

Least Common Multiple of 549,786,363 with GCF Formula

Least Common Multiple of 549,786,363 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 549,786,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,786,363) = 3

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

GCF(549,786,363) x common factors =3 x 3 = 9

LCM(549,786,363) = ( 549 × 786 × 363 ) / 9

LCM(549,786,363) = 156639582 / 9

LCM(549,786,363) = 17404398


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 566/549, 434/786, 432/363

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 566/549, 434/786, 432/363?

Answer: GCF of Numerators as per given numbers 566/549, 434/786, 432/363 is

GCF of Numerators i.e. for 566,434,432 is 2

LCM of denominators i.e. for 549,786,363 is 17404398.

Thus, GCF of Fractions is 2/17404398.Finally, GCF of Fractions for 566/549, 434/786, 432/363 is 2/17404398.