GCD of 972, 293, 23, 324 Calculator

Given Input numbers are 972, 293, 23, 324

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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 972, 293, 23, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 293, 23, 324 is 1.

Therefore, GCD of numbers 972, 293, 23, 324 is 1

Given Input Data is 972, 293, 23, 324

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 293 is 293

Prime Factorization of 23 is 23

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(972, 293) = 284796

GCD(972, 293) = ( 972 x 293 ) / 284796

GCD(972, 293) = 284796 / 284796

GCD(972, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 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 972, 293, 23, 324 is 1

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• GCD of 368, 269, 63, 360
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1. What is the GCD of 972, 293, 23, 324?

GCD of 972, 293, 23, 324 is 1

2. Where do I get the detailed procedure to find GCD of 972, 293, 23, 324?

You can find a detailed procedure to find GCD of 972, 293, 23, 324 on our page.

3. How to find GCD of 972, 293, 23, 324 on a calculator?

You can find the GCD of 972, 293, 23, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.