GCD of 717, 272, 824, 972 Calculator

Given Input numbers are 717, 272, 824, 972

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 717, 272, 824, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 272, 824, 972 is 1.

Therefore, GCD of numbers 717, 272, 824, 972 is 1

Given Input Data is 717, 272, 824, 972

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(717, 272) = 195024

GCD(717, 272) = ( 717 x 272 ) / 195024

GCD(717, 272) = 195024 / 195024

GCD(717, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 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 717, 272, 824, 972 is 1

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1. What is the GCD of 717, 272, 824, 972?

GCD of 717, 272, 824, 972 is 1

2. Where do I get the detailed procedure to find GCD of 717, 272, 824, 972?

You can find a detailed procedure to find GCD of 717, 272, 824, 972 on our page.

3. How to find GCD of 717, 272, 824, 972 on a calculator?

You can find the GCD of 717, 272, 824, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.