GCD of 529, 326, 133, 972 Calculator

Given Input numbers are 529, 326, 133, 972

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

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 529, 326, 133, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 326, 133, 972 is 1.

Therefore, GCD of numbers 529, 326, 133, 972 is 1

Given Input Data is 529, 326, 133, 972

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 326 is 2 x 163

Prime Factorization of 133 is 7 x 19

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(529, 326) = 172454

GCD(529, 326) = ( 529 x 326 ) / 172454

GCD(529, 326) = 172454 / 172454

GCD(529, 326) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 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 529, 326, 133, 972 is 1

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1. What is the GCD of 529, 326, 133, 972?

GCD of 529, 326, 133, 972 is 1

2. Where do I get the detailed procedure to find GCD of 529, 326, 133, 972?

You can find a detailed procedure to find GCD of 529, 326, 133, 972 on our page.

3. How to find GCD of 529, 326, 133, 972 on a calculator?

You can find the GCD of 529, 326, 133, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.