GCD of 386, 429, 22, 408 Calculator

Given Input numbers are 386, 429, 22, 408

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 429

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

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 386, 429, 22, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 429, 22, 408 is 1.

Therefore, GCD of numbers 386, 429, 22, 408 is 1

Given Input Data is 386, 429, 22, 408

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 408 is 2 x 2 x 2 x 3 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(386, 429) = 165594

GCD(386, 429) = ( 386 x 429 ) / 165594

GCD(386, 429) = 165594 / 165594

GCD(386, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 386, 429, 22, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 905, 95, 129
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• GCD of 249, 406, 35, 847
• GCD of 203, 170, 74, 430

1. What is the GCD of 386, 429, 22, 408?

GCD of 386, 429, 22, 408 is 1

2. Where do I get the detailed procedure to find GCD of 386, 429, 22, 408?

You can find a detailed procedure to find GCD of 386, 429, 22, 408 on our page.

3. How to find GCD of 386, 429, 22, 408 on a calculator?

You can find the GCD of 386, 429, 22, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.