GCD of 36, 778, 109, 509 Calculator

Given Input numbers are 36, 778, 109, 509

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

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 36, 778, 109, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 778, 109, 509 is 1.

Therefore, GCD of numbers 36, 778, 109, 509 is 1

Given Input Data is 36, 778, 109, 509

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

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 109 is 109

Prime Factorization of 509 is 509

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(36, 778) = 14004

GCD(36, 778) = ( 36 x 778 ) / 14004

GCD(36, 778) = 28008 / 14004

GCD(36, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 36, 778, 109, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 409, 451, 466
• GCD of 66, 389, 859, 535
• GCD of 89, 214, 922, 646
• GCD of 92, 243, 498, 826
• GCD of 13, 634, 263, 915

1. What is the GCD of 36, 778, 109, 509?

GCD of 36, 778, 109, 509 is 1

2. Where do I get the detailed procedure to find GCD of 36, 778, 109, 509?

You can find a detailed procedure to find GCD of 36, 778, 109, 509 on our page.

3. How to find GCD of 36, 778, 109, 509 on a calculator?

You can find the GCD of 36, 778, 109, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.