GCD of 355, 556, 42, 429 Calculator

Given Input numbers are 355, 556, 42, 429

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 355, 556, 42, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 556, 42, 429 is 1.

Therefore, GCD of numbers 355, 556, 42, 429 is 1

Given Input Data is 355, 556, 42, 429

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 429 is 3 x 11 x 13

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(355, 556) = 197380

GCD(355, 556) = ( 355 x 556 ) / 197380

GCD(355, 556) = 197380 / 197380

GCD(355, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 355, 556, 42, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 189, 75, 346
• GCD of 388, 456, 58, 157
• GCD of 825, 207, 14, 729
• GCD of 641, 783, 22, 494
• GCD of 445, 782, 87, 701

1. What is the GCD of 355, 556, 42, 429?

GCD of 355, 556, 42, 429 is 1

2. Where do I get the detailed procedure to find GCD of 355, 556, 42, 429?

You can find a detailed procedure to find GCD of 355, 556, 42, 429 on our page.

3. How to find GCD of 355, 556, 42, 429 on a calculator?

You can find the GCD of 355, 556, 42, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.