GCD of 529, 522, 986, 859 Calculator

Given Input numbers are 529, 522, 986, 859

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

Divisors of 529

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

1, 23, 529

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 529, 522, 986, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 522, 986, 859 is 1.

Therefore, GCD of numbers 529, 522, 986, 859 is 1

Given Input Data is 529, 522, 986, 859

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 859 is 859

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(529, 522) = 276138

GCD(529, 522) = ( 529 x 522 ) / 276138

GCD(529, 522) = 276138 / 276138

GCD(529, 522) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 529, 522, 986, 859 is 1

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1. What is the GCD of 529, 522, 986, 859?

GCD of 529, 522, 986, 859 is 1

2. Where do I get the detailed procedure to find GCD of 529, 522, 986, 859?

You can find a detailed procedure to find GCD of 529, 522, 986, 859 on our page.

3. How to find GCD of 529, 522, 986, 859 on a calculator?

You can find the GCD of 529, 522, 986, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.