GCD of 694, 229, 20, 381 Calculator

Given Input numbers are 694, 229, 20, 381

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 694, 229, 20, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 229, 20, 381 is 1.

Therefore, GCD of numbers 694, 229, 20, 381 is 1

Given Input Data is 694, 229, 20, 381

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 229 is 229

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 381 is 3 x 127

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(694, 229) = 158926

GCD(694, 229) = ( 694 x 229 ) / 158926

GCD(694, 229) = 158926 / 158926

GCD(694, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 694, 229, 20, 381 is 1

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1. What is the GCD of 694, 229, 20, 381?

GCD of 694, 229, 20, 381 is 1

2. Where do I get the detailed procedure to find GCD of 694, 229, 20, 381?

You can find a detailed procedure to find GCD of 694, 229, 20, 381 on our page.

3. How to find GCD of 694, 229, 20, 381 on a calculator?

You can find the GCD of 694, 229, 20, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.