GCD of 585, 350, 856, 529 Calculator

Given Input numbers are 585, 350, 856, 529

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 585, 350, 856, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 350, 856, 529 is 1.

Therefore, GCD of numbers 585, 350, 856, 529 is 1

Given Input Data is 585, 350, 856, 529

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 350 is 2 x 5 x 5 x 7

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 529 is 23 x 23

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, 350) = 40950

GCD(585, 350) = ( 585 x 350 ) / 40950

GCD(585, 350) = 204750 / 40950

GCD(585, 350) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 856

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

LCM(5, 856) = 4280

GCD(5, 856) = ( 5 x 856 ) / 4280

GCD(5, 856) = 4280 / 4280

GCD(5, 856) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 585, 350, 856, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 315, 695, 964
• GCD of 562, 683, 728, 947
• GCD of 756, 196, 305, 878
• GCD of 256, 591, 781, 771
• GCD of 695, 655, 833, 806

1. What is the GCD of 585, 350, 856, 529?

GCD of 585, 350, 856, 529 is 1

2. Where do I get the detailed procedure to find GCD of 585, 350, 856, 529?

You can find a detailed procedure to find GCD of 585, 350, 856, 529 on our page.

3. How to find GCD of 585, 350, 856, 529 on a calculator?

You can find the GCD of 585, 350, 856, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.