GCD of 659, 913, 361, 585 Calculator

Given Input numbers are 659, 913, 361, 585

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 659, 913, 361, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 913, 361, 585 is 1.

Therefore, GCD of numbers 659, 913, 361, 585 is 1

Given Input Data is 659, 913, 361, 585

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

Prime Factorization of 659 is 659

Prime Factorization of 913 is 11 x 83

Prime Factorization of 361 is 19 x 19

Prime Factorization of 585 is 3 x 3 x 5 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(659, 913) = 601667

GCD(659, 913) = ( 659 x 913 ) / 601667

GCD(659, 913) = 601667 / 601667

GCD(659, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 659, 913, 361, 585 is 1

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1. What is the GCD of 659, 913, 361, 585?

GCD of 659, 913, 361, 585 is 1

2. Where do I get the detailed procedure to find GCD of 659, 913, 361, 585?

You can find a detailed procedure to find GCD of 659, 913, 361, 585 on our page.

3. How to find GCD of 659, 913, 361, 585 on a calculator?

You can find the GCD of 659, 913, 361, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.