GCD of 905, 301, 50, 402 Calculator

Given Input numbers are 905, 301, 50, 402

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

Divisors of 905

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

1, 5, 181, 905

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 905, 301, 50, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 301, 50, 402 is 1.

Therefore, GCD of numbers 905, 301, 50, 402 is 1

Given Input Data is 905, 301, 50, 402

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 301 is 7 x 43

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 402 is 2 x 3 x 67

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(905, 301) = 272405

GCD(905, 301) = ( 905 x 301 ) / 272405

GCD(905, 301) = 272405 / 272405

GCD(905, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 905, 301, 50, 402 is 1

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1. What is the GCD of 905, 301, 50, 402?

GCD of 905, 301, 50, 402 is 1

2. Where do I get the detailed procedure to find GCD of 905, 301, 50, 402?

You can find a detailed procedure to find GCD of 905, 301, 50, 402 on our page.

3. How to find GCD of 905, 301, 50, 402 on a calculator?

You can find the GCD of 905, 301, 50, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.