GCD of 422, 378, 51, 358 Calculator

Given Input numbers are 422, 378, 51, 358

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 422, 378, 51, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 378, 51, 358 is 1.

Therefore, GCD of numbers 422, 378, 51, 358 is 1

Given Input Data is 422, 378, 51, 358

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 51 is 3 x 17

Prime Factorization of 358 is 2 x 179

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, 378) = 79758

GCD(422, 378) = ( 422 x 378 ) / 79758

GCD(422, 378) = 159516 / 79758

GCD(422, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 422, 378, 51, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 180, 80, 364
• GCD of 126, 182, 52, 883
• GCD of 863, 734, 15, 484
• GCD of 293, 638, 46, 654
• GCD of 164, 370, 83, 351

1. What is the GCD of 422, 378, 51, 358?

GCD of 422, 378, 51, 358 is 1

2. Where do I get the detailed procedure to find GCD of 422, 378, 51, 358?

You can find a detailed procedure to find GCD of 422, 378, 51, 358 on our page.

3. How to find GCD of 422, 378, 51, 358 on a calculator?

You can find the GCD of 422, 378, 51, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.