GCD of 17, 457, 972, 224 Calculator

Given Input numbers are 17, 457, 972, 224

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 17, 457, 972, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 457, 972, 224 is 1.

Therefore, GCD of numbers 17, 457, 972, 224 is 1

Given Input Data is 17, 457, 972, 224

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

Prime Factorization of 17 is 17

Prime Factorization of 457 is 457

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(17, 457) = 7769

GCD(17, 457) = ( 17 x 457 ) / 7769

GCD(17, 457) = 7769 / 7769

GCD(17, 457) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 17, 457, 972, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 881, 301, 806
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• GCD of 32, 854, 238, 771

1. What is the GCD of 17, 457, 972, 224?

GCD of 17, 457, 972, 224 is 1

2. Where do I get the detailed procedure to find GCD of 17, 457, 972, 224?

You can find a detailed procedure to find GCD of 17, 457, 972, 224 on our page.

3. How to find GCD of 17, 457, 972, 224 on a calculator?

You can find the GCD of 17, 457, 972, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.