GCD of 64, 679, 173, 309 Calculator

Given Input numbers are 64, 679, 173, 309

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

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 64, 679, 173, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 679, 173, 309 is 1.

Therefore, GCD of numbers 64, 679, 173, 309 is 1

Given Input Data is 64, 679, 173, 309

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

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 173 is 173

Prime Factorization of 309 is 3 x 103

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(64, 679) = 43456

GCD(64, 679) = ( 64 x 679 ) / 43456

GCD(64, 679) = 43456 / 43456

GCD(64, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 64, 679, 173, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 629, 581, 463
• GCD of 27, 298, 438, 723
• GCD of 84, 892, 449, 831
• GCD of 79, 479, 439, 293
• GCD of 64, 418, 689, 334

1. What is the GCD of 64, 679, 173, 309?

GCD of 64, 679, 173, 309 is 1

2. Where do I get the detailed procedure to find GCD of 64, 679, 173, 309?

You can find a detailed procedure to find GCD of 64, 679, 173, 309 on our page.

3. How to find GCD of 64, 679, 173, 309 on a calculator?

You can find the GCD of 64, 679, 173, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.