GCD of 20, 567, 146, 188 Calculator

Given Input numbers are 20, 567, 146, 188

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 188

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

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 20, 567, 146, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 567, 146, 188 is 1.

Therefore, GCD of numbers 20, 567, 146, 188 is 1

Given Input Data is 20, 567, 146, 188

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 146 is 2 x 73

Prime Factorization of 188 is 2 x 2 x 47

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(20, 567) = 11340

GCD(20, 567) = ( 20 x 567 ) / 11340

GCD(20, 567) = 11340 / 11340

GCD(20, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 20, 567, 146, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 619, 754, 849
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• GCD of 40, 283, 682, 922

1. What is the GCD of 20, 567, 146, 188?

GCD of 20, 567, 146, 188 is 1

2. Where do I get the detailed procedure to find GCD of 20, 567, 146, 188?

You can find a detailed procedure to find GCD of 20, 567, 146, 188 on our page.

3. How to find GCD of 20, 567, 146, 188 on a calculator?

You can find the GCD of 20, 567, 146, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.