GCD of 609, 276, 30, 538 Calculator

Given Input numbers are 609, 276, 30, 538

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 609, 276, 30, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 276, 30, 538 is 1.

Therefore, GCD of numbers 609, 276, 30, 538 is 1

Given Input Data is 609, 276, 30, 538

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 538 is 2 x 269

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(609, 276) = 56028

GCD(609, 276) = ( 609 x 276 ) / 56028

GCD(609, 276) = 168084 / 56028

GCD(609, 276) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 538

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

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

GCD(3, 538) = 1614 / 1614

GCD(3, 538) = 1

GCD of 609, 276, 30, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 990, 17, 648
• GCD of 632, 394, 15, 663
• GCD of 242, 649, 40, 164
• GCD of 844, 306, 49, 316
• GCD of 104, 838, 49, 889

1. What is the GCD of 609, 276, 30, 538?

GCD of 609, 276, 30, 538 is 1

2. Where do I get the detailed procedure to find GCD of 609, 276, 30, 538?

You can find a detailed procedure to find GCD of 609, 276, 30, 538 on our page.

3. How to find GCD of 609, 276, 30, 538 on a calculator?

You can find the GCD of 609, 276, 30, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.