GCD of 32, 944, 449, 972 Calculator

Given Input numbers are 32, 944, 449, 972

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

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

Greatest Common Divisior

We found the divisors of 32, 944, 449, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 944, 449, 972 is 1.

Therefore, GCD of numbers 32, 944, 449, 972 is 1

Given Input Data is 32, 944, 449, 972

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 449 is 449

Prime Factorization of 972 is 2 x 2 x 3 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(32, 944) = 1888

GCD(32, 944) = ( 32 x 944 ) / 1888

GCD(32, 944) = 30208 / 1888

GCD(32, 944) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 449

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

LCM(16, 449) = 7184

GCD(16, 449) = ( 16 x 449 ) / 7184

GCD(16, 449) = 7184 / 7184

GCD(16, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 32, 944, 449, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 372, 172, 629
• GCD of 55, 993, 249, 456
• GCD of 40, 780, 275, 744
• GCD of 73, 398, 300, 406
• GCD of 51, 756, 441, 457

1. What is the GCD of 32, 944, 449, 972?

GCD of 32, 944, 449, 972 is 1

2. Where do I get the detailed procedure to find GCD of 32, 944, 449, 972?

You can find a detailed procedure to find GCD of 32, 944, 449, 972 on our page.

3. How to find GCD of 32, 944, 449, 972 on a calculator?

You can find the GCD of 32, 944, 449, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.