GCD of 432, 565, 40, 209 Calculator

Given Input numbers are 432, 565, 40, 209

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 432

List of positive integer divisors 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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 432, 565, 40, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 565, 40, 209 is 1.

Therefore, GCD of numbers 432, 565, 40, 209 is 1

Given Input Data is 432, 565, 40, 209

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 565 is 5 x 113

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 209 is 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(432, 565) = 244080

GCD(432, 565) = ( 432 x 565 ) / 244080

GCD(432, 565) = 244080 / 244080

GCD(432, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 432, 565, 40, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 661, 61, 224
• GCD of 253, 291, 21, 424
• GCD of 523, 866, 10, 227
• GCD of 390, 822, 79, 543
• GCD of 865, 283, 17, 801

1. What is the GCD of 432, 565, 40, 209?

GCD of 432, 565, 40, 209 is 1

2. Where do I get the detailed procedure to find GCD of 432, 565, 40, 209?

You can find a detailed procedure to find GCD of 432, 565, 40, 209 on our page.

3. How to find GCD of 432, 565, 40, 209 on a calculator?

You can find the GCD of 432, 565, 40, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.