GCD of 389, 148, 234, 820 Calculator

Given Input numbers are 389, 148, 234, 820

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 389, 148, 234, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 148, 234, 820 is 1.

Therefore, GCD of numbers 389, 148, 234, 820 is 1

Given Input Data is 389, 148, 234, 820

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

Prime Factorization of 389 is 389

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(389, 148) = 57572

GCD(389, 148) = ( 389 x 148 ) / 57572

GCD(389, 148) = 57572 / 57572

GCD(389, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 389, 148, 234, 820 is 1

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1. What is the GCD of 389, 148, 234, 820?

GCD of 389, 148, 234, 820 is 1

2. Where do I get the detailed procedure to find GCD of 389, 148, 234, 820?

You can find a detailed procedure to find GCD of 389, 148, 234, 820 on our page.

3. How to find GCD of 389, 148, 234, 820 on a calculator?

You can find the GCD of 389, 148, 234, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.