GCD of 509, 785, 867, 652 Calculator

Given Input numbers are 509, 785, 867, 652

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 509, 785, 867, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 785, 867, 652 is 1.

Therefore, GCD of numbers 509, 785, 867, 652 is 1

Given Input Data is 509, 785, 867, 652

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

Prime Factorization of 509 is 509

Prime Factorization of 785 is 5 x 157

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 652 is 2 x 2 x 163

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, 785) = 399565

GCD(509, 785) = ( 509 x 785 ) / 399565

GCD(509, 785) = 399565 / 399565

GCD(509, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 509, 785, 867, 652 is 1

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1. What is the GCD of 509, 785, 867, 652?

GCD of 509, 785, 867, 652 is 1

2. Where do I get the detailed procedure to find GCD of 509, 785, 867, 652?

You can find a detailed procedure to find GCD of 509, 785, 867, 652 on our page.

3. How to find GCD of 509, 785, 867, 652 on a calculator?

You can find the GCD of 509, 785, 867, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.