GCD of 134, 531, 21, 597 Calculator

Given Input numbers are 134, 531, 21, 597

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 134, 531, 21, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 531, 21, 597 is 1.

Therefore, GCD of numbers 134, 531, 21, 597 is 1

Given Input Data is 134, 531, 21, 597

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 21 is 3 x 7

Prime Factorization of 597 is 3 x 199

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(134, 531) = 71154

GCD(134, 531) = ( 134 x 531 ) / 71154

GCD(134, 531) = 71154 / 71154

GCD(134, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 134, 531, 21, 597 is 1

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1. What is the GCD of 134, 531, 21, 597?

GCD of 134, 531, 21, 597 is 1

2. Where do I get the detailed procedure to find GCD of 134, 531, 21, 597?

You can find a detailed procedure to find GCD of 134, 531, 21, 597 on our page.

3. How to find GCD of 134, 531, 21, 597 on a calculator?

You can find the GCD of 134, 531, 21, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.