GCD of 509, 986, 36, 851 Calculator

Given Input numbers are 509, 986, 36, 851

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 509, 986, 36, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 986, 36, 851 is 1.

Therefore, GCD of numbers 509, 986, 36, 851 is 1

Given Input Data is 509, 986, 36, 851

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

Prime Factorization of 509 is 509

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 851 is 23 x 37

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(509, 986) = 501874

GCD(509, 986) = ( 509 x 986 ) / 501874

GCD(509, 986) = 501874 / 501874

GCD(509, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 509, 986, 36, 851 is 1

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• GCD of 446, 665, 11, 706
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• GCD of 423, 408, 80, 328

1. What is the GCD of 509, 986, 36, 851?

GCD of 509, 986, 36, 851 is 1

2. Where do I get the detailed procedure to find GCD of 509, 986, 36, 851?

You can find a detailed procedure to find GCD of 509, 986, 36, 851 on our page.

3. How to find GCD of 509, 986, 36, 851 on a calculator?

You can find the GCD of 509, 986, 36, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.