GCD of 531, 413, 772, 165 Calculator

Given Input numbers are 531, 413, 772, 165

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

Divisors of 531

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

1, 3, 9, 59, 177, 531

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 531, 413, 772, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 413, 772, 165 is 1.

Therefore, GCD of numbers 531, 413, 772, 165 is 1

Given Input Data is 531, 413, 772, 165

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 413 is 7 x 59

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 165 is 3 x 5 x 11

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(531, 413) = 3717

GCD(531, 413) = ( 531 x 413 ) / 3717

GCD(531, 413) = 219303 / 3717

GCD(531, 413) = 59

Step2:

Here we consider the GCD from the above i.e. 59 as first number and the next as 772

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

LCM(59, 772) = 45548

GCD(59, 772) = ( 59 x 772 ) / 45548

GCD(59, 772) = 45548 / 45548

GCD(59, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 531, 413, 772, 165 is 1

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1. What is the GCD of 531, 413, 772, 165?

GCD of 531, 413, 772, 165 is 1

2. Where do I get the detailed procedure to find GCD of 531, 413, 772, 165?

You can find a detailed procedure to find GCD of 531, 413, 772, 165 on our page.

3. How to find GCD of 531, 413, 772, 165 on a calculator?

You can find the GCD of 531, 413, 772, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.