GCD of 164, 146, 599, 527 Calculator

Given Input numbers are 164, 146, 599, 527

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 164, 146, 599, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 146, 599, 527 is 1.

Therefore, GCD of numbers 164, 146, 599, 527 is 1

Given Input Data is 164, 146, 599, 527

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 146 is 2 x 73

Prime Factorization of 599 is 599

Prime Factorization of 527 is 17 x 31

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(164, 146) = 11972

GCD(164, 146) = ( 164 x 146 ) / 11972

GCD(164, 146) = 23944 / 11972

GCD(164, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 599

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

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

GCD(2, 599) = 1198 / 1198

GCD(2, 599) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 164, 146, 599, 527 is 1

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1. What is the GCD of 164, 146, 599, 527?

GCD of 164, 146, 599, 527 is 1

2. Where do I get the detailed procedure to find GCD of 164, 146, 599, 527?

You can find a detailed procedure to find GCD of 164, 146, 599, 527 on our page.

3. How to find GCD of 164, 146, 599, 527 on a calculator?

You can find the GCD of 164, 146, 599, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.