GCD of 309, 198, 64, 609 Calculator

Given Input numbers are 309, 198, 64, 609

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 609

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

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

Greatest Common Divisior

We found the divisors of 309, 198, 64, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 198, 64, 609 is 1.

Therefore, GCD of numbers 309, 198, 64, 609 is 1

Given Input Data is 309, 198, 64, 609

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 609 is 3 x 7 x 29

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(309, 198) = 20394

GCD(309, 198) = ( 309 x 198 ) / 20394

GCD(309, 198) = 61182 / 20394

GCD(309, 198) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 309, 198, 64, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 799, 11, 273
• GCD of 801, 817, 16, 988
• GCD of 785, 663, 93, 594
• GCD of 400, 609, 96, 451
• GCD of 518, 746, 31, 556

1. What is the GCD of 309, 198, 64, 609?

GCD of 309, 198, 64, 609 is 1

2. Where do I get the detailed procedure to find GCD of 309, 198, 64, 609?

You can find a detailed procedure to find GCD of 309, 198, 64, 609 on our page.

3. How to find GCD of 309, 198, 64, 609 on a calculator?

You can find the GCD of 309, 198, 64, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.