GCD of 420, 795, 28, 389 Calculator

Given Input numbers are 420, 795, 28, 389

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 389

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

1, 389

Greatest Common Divisior

We found the divisors of 420, 795, 28, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 795, 28, 389 is 1.

Therefore, GCD of numbers 420, 795, 28, 389 is 1

Given Input Data is 420, 795, 28, 389

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 389 is 389

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(420, 795) = 22260

GCD(420, 795) = ( 420 x 795 ) / 22260

GCD(420, 795) = 333900 / 22260

GCD(420, 795) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 28

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

LCM(15, 28) = 420

GCD(15, 28) = ( 15 x 28 ) / 420

GCD(15, 28) = 420 / 420

GCD(15, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 420, 795, 28, 389 is 1

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• GCD of 805, 624, 96, 843
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1. What is the GCD of 420, 795, 28, 389?

GCD of 420, 795, 28, 389 is 1

2. Where do I get the detailed procedure to find GCD of 420, 795, 28, 389?

You can find a detailed procedure to find GCD of 420, 795, 28, 389 on our page.

3. How to find GCD of 420, 795, 28, 389 on a calculator?

You can find the GCD of 420, 795, 28, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.