GCD of 920, 627, 945, 324 Calculator

Given Input numbers are 920, 627, 945, 324

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 920, 627, 945, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 627, 945, 324 is 1.

Therefore, GCD of numbers 920, 627, 945, 324 is 1

Given Input Data is 920, 627, 945, 324

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(920, 627) = 576840

GCD(920, 627) = ( 920 x 627 ) / 576840

GCD(920, 627) = 576840 / 576840

GCD(920, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 920, 627, 945, 324 is 1

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1. What is the GCD of 920, 627, 945, 324?

GCD of 920, 627, 945, 324 is 1

2. Where do I get the detailed procedure to find GCD of 920, 627, 945, 324?

You can find a detailed procedure to find GCD of 920, 627, 945, 324 on our page.

3. How to find GCD of 920, 627, 945, 324 on a calculator?

You can find the GCD of 920, 627, 945, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.