GCD of 527, 423, 41, 204 Calculator

Given Input numbers are 527, 423, 41, 204

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

Divisors of 527

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

1, 17, 31, 527

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 527, 423, 41, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 423, 41, 204 is 1.

Therefore, GCD of numbers 527, 423, 41, 204 is 1

Given Input Data is 527, 423, 41, 204

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 41 is 41

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(527, 423) = 222921

GCD(527, 423) = ( 527 x 423 ) / 222921

GCD(527, 423) = 222921 / 222921

GCD(527, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 527, 423, 41, 204 is 1

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1. What is the GCD of 527, 423, 41, 204?

GCD of 527, 423, 41, 204 is 1

2. Where do I get the detailed procedure to find GCD of 527, 423, 41, 204?

You can find a detailed procedure to find GCD of 527, 423, 41, 204 on our page.

3. How to find GCD of 527, 423, 41, 204 on a calculator?

You can find the GCD of 527, 423, 41, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.