GCD of 585, 617, 77, 565 Calculator

Given Input numbers are 585, 617, 77, 565

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

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 565

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

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 585, 617, 77, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 617, 77, 565 is 1.

Therefore, GCD of numbers 585, 617, 77, 565 is 1

Given Input Data is 585, 617, 77, 565

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 617 is 617

Prime Factorization of 77 is 7 x 11

Prime Factorization of 565 is 5 x 113

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(585, 617) = 360945

GCD(585, 617) = ( 585 x 617 ) / 360945

GCD(585, 617) = 360945 / 360945

GCD(585, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 585, 617, 77, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 514, 35, 837
• GCD of 787, 956, 35, 952
• GCD of 300, 769, 44, 592
• GCD of 388, 869, 66, 772
• GCD of 618, 882, 96, 854

1. What is the GCD of 585, 617, 77, 565?

GCD of 585, 617, 77, 565 is 1

2. Where do I get the detailed procedure to find GCD of 585, 617, 77, 565?

You can find a detailed procedure to find GCD of 585, 617, 77, 565 on our page.

3. How to find GCD of 585, 617, 77, 565 on a calculator?

You can find the GCD of 585, 617, 77, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.