GCD of 201, 905, 60, 438 Calculator

Given Input numbers are 201, 905, 60, 438

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 201, 905, 60, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 905, 60, 438 is 1.

Therefore, GCD of numbers 201, 905, 60, 438 is 1

Given Input Data is 201, 905, 60, 438

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 905 is 5 x 181

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 438 is 2 x 3 x 73

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(201, 905) = 181905

GCD(201, 905) = ( 201 x 905 ) / 181905

GCD(201, 905) = 181905 / 181905

GCD(201, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 201, 905, 60, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 519, 77, 886
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• GCD of 754, 612, 36, 145

1. What is the GCD of 201, 905, 60, 438?

GCD of 201, 905, 60, 438 is 1

2. Where do I get the detailed procedure to find GCD of 201, 905, 60, 438?

You can find a detailed procedure to find GCD of 201, 905, 60, 438 on our page.

3. How to find GCD of 201, 905, 60, 438 on a calculator?

You can find the GCD of 201, 905, 60, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.