GCD of 422, 300, 50, 357 Calculator

Given Input numbers are 422, 300, 50, 357

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 422, 300, 50, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 300, 50, 357 is 1.

Therefore, GCD of numbers 422, 300, 50, 357 is 1

Given Input Data is 422, 300, 50, 357

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 357 is 3 x 7 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(422, 300) = 63300

GCD(422, 300) = ( 422 x 300 ) / 63300

GCD(422, 300) = 126600 / 63300

GCD(422, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

GCD of 422, 300, 50, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 127, 83, 704
• GCD of 159, 834, 86, 950
• GCD of 589, 457, 18, 618
• GCD of 962, 411, 46, 490
• GCD of 330, 868, 49, 941

1. What is the GCD of 422, 300, 50, 357?

GCD of 422, 300, 50, 357 is 1

2. Where do I get the detailed procedure to find GCD of 422, 300, 50, 357?

You can find a detailed procedure to find GCD of 422, 300, 50, 357 on our page.

3. How to find GCD of 422, 300, 50, 357 on a calculator?

You can find the GCD of 422, 300, 50, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.