GCD of 684, 509, 16, 909 Calculator

Given Input numbers are 684, 509, 16, 909

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 509

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

1, 509

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 684, 509, 16, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 509, 16, 909 is 1.

Therefore, GCD of numbers 684, 509, 16, 909 is 1

Given Input Data is 684, 509, 16, 909

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 509 is 509

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 909 is 3 x 3 x 101

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(684, 509) = 348156

GCD(684, 509) = ( 684 x 509 ) / 348156

GCD(684, 509) = 348156 / 348156

GCD(684, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 684, 509, 16, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 560, 56, 666
• GCD of 507, 718, 59, 182
• GCD of 284, 620, 44, 460
• GCD of 969, 527, 23, 887
• GCD of 177, 573, 99, 780

1. What is the GCD of 684, 509, 16, 909?

GCD of 684, 509, 16, 909 is 1

2. Where do I get the detailed procedure to find GCD of 684, 509, 16, 909?

You can find a detailed procedure to find GCD of 684, 509, 16, 909 on our page.

3. How to find GCD of 684, 509, 16, 909 on a calculator?

You can find the GCD of 684, 509, 16, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.