GCD of 464, 562, 209 Calculator

Given Input numbers are 464, 562, 209

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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 464, 562, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 562, 209 is 1.

Therefore, GCD of numbers 464, 562, 209 is 1

Given Input Data is 464, 562, 209

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 562 is 2 x 281

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(464, 562) = 130384

GCD(464, 562) = ( 464 x 562 ) / 130384

GCD(464, 562) = 260768 / 130384

GCD(464, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 464, 562, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 373, 730
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1. What is the GCD of 464, 562, 209?

GCD of 464, 562, 209 is 1

2. Where do I get the detailed procedure to find GCD of 464, 562, 209?

You can find a detailed procedure to find GCD of 464, 562, 209 on our page.

3. How to find GCD of 464, 562, 209 on a calculator?

You can find the GCD of 464, 562, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.