GCD of 612, 644, 927, 322 Calculator

Given Input numbers are 612, 644, 927, 322

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 612, 644, 927, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 644, 927, 322 is 1.

Therefore, GCD of numbers 612, 644, 927, 322 is 1

Given Input Data is 612, 644, 927, 322

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 322 is 2 x 7 x 23

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(612, 644) = 98532

GCD(612, 644) = ( 612 x 644 ) / 98532

GCD(612, 644) = 394128 / 98532

GCD(612, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 927

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

LCM(4, 927) = 3708

GCD(4, 927) = ( 4 x 927 ) / 3708

GCD(4, 927) = 3708 / 3708

GCD(4, 927) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 612, 644, 927, 322 is 1

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1. What is the GCD of 612, 644, 927, 322?

GCD of 612, 644, 927, 322 is 1

2. Where do I get the detailed procedure to find GCD of 612, 644, 927, 322?

You can find a detailed procedure to find GCD of 612, 644, 927, 322 on our page.

3. How to find GCD of 612, 644, 927, 322 on a calculator?

You can find the GCD of 612, 644, 927, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.