GCD of 66, 24, 55, 20 Calculator

Given Input numbers are 66, 24, 55, 20

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 20

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

1, 2, 4, 5, 10, 20

Greatest Common Divisior

We found the divisors of 66, 24, 55, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 24, 55, 20 is 1.

Therefore, GCD of numbers 66, 24, 55, 20 is 1

Given Input Data is 66, 24, 55, 20

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 55 is 5 x 11

Prime Factorization of 20 is 2 x 2 x 5

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(66, 24) = 264

GCD(66, 24) = ( 66 x 24 ) / 264

GCD(66, 24) = 1584 / 264

GCD(66, 24) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 55

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

LCM(6, 55) = 330

GCD(6, 55) = ( 6 x 55 ) / 330

GCD(6, 55) = 330 / 330

GCD(6, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

GCD of 66, 24, 55, 20 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 16, 43, 34
• GCD of 57, 81, 38, 42
• GCD of 37, 42, 67, 40
• GCD of 59, 79, 18, 48
• GCD of 47, 87, 48, 10

1. What is the GCD of 66, 24, 55, 20?

GCD of 66, 24, 55, 20 is 1

2. Where do I get the detailed procedure to find GCD of 66, 24, 55, 20?

You can find a detailed procedure to find GCD of 66, 24, 55, 20 on our page.

3. How to find GCD of 66, 24, 55, 20 on a calculator?

You can find the GCD of 66, 24, 55, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.