GCD of 972, 897, 586, 548 Calculator

Given Input numbers are 972, 897, 586, 548

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 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 972, 897, 586, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 897, 586, 548 is 1.

Therefore, GCD of numbers 972, 897, 586, 548 is 1

Given Input Data is 972, 897, 586, 548

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 897 is 3 x 13 x 23

Prime Factorization of 586 is 2 x 293

Prime Factorization of 548 is 2 x 2 x 137

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, 897) = 290628

GCD(972, 897) = ( 972 x 897 ) / 290628

GCD(972, 897) = 871884 / 290628

GCD(972, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 586

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

LCM(3, 586) = 1758

GCD(3, 586) = ( 3 x 586 ) / 1758

GCD(3, 586) = 1758 / 1758

GCD(3, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 972, 897, 586, 548 is 1

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1. What is the GCD of 972, 897, 586, 548?

GCD of 972, 897, 586, 548 is 1

2. Where do I get the detailed procedure to find GCD of 972, 897, 586, 548?

You can find a detailed procedure to find GCD of 972, 897, 586, 548 on our page.

3. How to find GCD of 972, 897, 586, 548 on a calculator?

You can find the GCD of 972, 897, 586, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.