GCD of 521, 561, 37, 159 Calculator

Given Input numbers are 521, 561, 37, 159

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 521, 561, 37, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 561, 37, 159 is 1.

Therefore, GCD of numbers 521, 561, 37, 159 is 1

Given Input Data is 521, 561, 37, 159

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

Prime Factorization of 521 is 521

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 37 is 37

Prime Factorization of 159 is 3 x 53

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(521, 561) = 292281

GCD(521, 561) = ( 521 x 561 ) / 292281

GCD(521, 561) = 292281 / 292281

GCD(521, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 521, 561, 37, 159 is 1

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1. What is the GCD of 521, 561, 37, 159?

GCD of 521, 561, 37, 159 is 1

2. Where do I get the detailed procedure to find GCD of 521, 561, 37, 159?

You can find a detailed procedure to find GCD of 521, 561, 37, 159 on our page.

3. How to find GCD of 521, 561, 37, 159 on a calculator?

You can find the GCD of 521, 561, 37, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.