GCD of 285, 188, 420, 106 Calculator

Given Input numbers are 285, 188, 420, 106

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 285, 188, 420, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 188, 420, 106 is 1.

Therefore, GCD of numbers 285, 188, 420, 106 is 1

Given Input Data is 285, 188, 420, 106

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 188 is 2 x 2 x 47

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

Prime Factorization of 106 is 2 x 53

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(285, 188) = 53580

GCD(285, 188) = ( 285 x 188 ) / 53580

GCD(285, 188) = 53580 / 53580

GCD(285, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 285, 188, 420, 106 is 1

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1. What is the GCD of 285, 188, 420, 106?

GCD of 285, 188, 420, 106 is 1

2. Where do I get the detailed procedure to find GCD of 285, 188, 420, 106?

You can find a detailed procedure to find GCD of 285, 188, 420, 106 on our page.

3. How to find GCD of 285, 188, 420, 106 on a calculator?

You can find the GCD of 285, 188, 420, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.