GCD of 367, 624, 668, 309 Calculator

Given Input numbers are 367, 624, 668, 309

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

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 367, 624, 668, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 624, 668, 309 is 1.

Therefore, GCD of numbers 367, 624, 668, 309 is 1

Given Input Data is 367, 624, 668, 309

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

Prime Factorization of 367 is 367

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 668 is 2 x 2 x 167

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(367, 624) = 229008

GCD(367, 624) = ( 367 x 624 ) / 229008

GCD(367, 624) = 229008 / 229008

GCD(367, 624) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 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 367, 624, 668, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 436, 717, 495
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1. What is the GCD of 367, 624, 668, 309?

GCD of 367, 624, 668, 309 is 1

2. Where do I get the detailed procedure to find GCD of 367, 624, 668, 309?

You can find a detailed procedure to find GCD of 367, 624, 668, 309 on our page.

3. How to find GCD of 367, 624, 668, 309 on a calculator?

You can find the GCD of 367, 624, 668, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.