GCD of 20, 25, 84, 54 Calculator

Given Input numbers are 20, 25, 84, 54

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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 20, 25, 84, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 25, 84, 54 is 1.

Therefore, GCD of numbers 20, 25, 84, 54 is 1

Given Input Data is 20, 25, 84, 54

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 25 is 5 x 5

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

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, 25) = 100

GCD(20, 25) = ( 20 x 25 ) / 100

GCD(20, 25) = 500 / 100

GCD(20, 25) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 84

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

LCM(5, 84) = 420

GCD(5, 84) = ( 5 x 84 ) / 420

GCD(5, 84) = 420 / 420

GCD(5, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 20, 25, 84, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 54, 70, 80
• GCD of 79, 93, 80, 24
• GCD of 60, 49, 88, 52
• GCD of 89, 12, 30, 12
• GCD of 86, 80, 88, 21

1. What is the GCD of 20, 25, 84, 54?

GCD of 20, 25, 84, 54 is 1

2. Where do I get the detailed procedure to find GCD of 20, 25, 84, 54?

You can find a detailed procedure to find GCD of 20, 25, 84, 54 on our page.

3. How to find GCD of 20, 25, 84, 54 on a calculator?

You can find the GCD of 20, 25, 84, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.