GCD of 609, 460, 351 Calculator

Given Input numbers are 609, 460, 351

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 609, 460, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 460, 351 is 1.

Therefore, GCD of numbers 609, 460, 351 is 1

Given Input Data is 609, 460, 351

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(609, 460) = 280140

GCD(609, 460) = ( 609 x 460 ) / 280140

GCD(609, 460) = 280140 / 280140

GCD(609, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 609, 460, 351 is 1

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1. What is the GCD of 609, 460, 351?

GCD of 609, 460, 351 is 1

2. Where do I get the detailed procedure to find GCD of 609, 460, 351?

You can find a detailed procedure to find GCD of 609, 460, 351 on our page.

3. How to find GCD of 609, 460, 351 on a calculator?

You can find the GCD of 609, 460, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.