GCD of 87, 9, 20, 76 Calculator

Given Input numbers are 87, 9, 20, 76

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Greatest Common Divisior

We found the divisors of 87, 9, 20, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 9, 20, 76 is 1.

Therefore, GCD of numbers 87, 9, 20, 76 is 1

Given Input Data is 87, 9, 20, 76

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 9 is 3 x 3

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 76 is 2 x 2 x 19

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(87, 9) = 261

GCD(87, 9) = ( 87 x 9 ) / 261

GCD(87, 9) = 783 / 261

GCD(87, 9) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

GCD of 87, 9, 20, 76 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 1, 32, 33
• GCD of 58, 4, 10, 39
• GCD of 99, 2, 91, 41
• GCD of 39, 8, 12, 59
• GCD of 97, 8, 29, 83

1. What is the GCD of 87, 9, 20, 76?

GCD of 87, 9, 20, 76 is 1

2. Where do I get the detailed procedure to find GCD of 87, 9, 20, 76?

You can find a detailed procedure to find GCD of 87, 9, 20, 76 on our page.

3. How to find GCD of 87, 9, 20, 76 on a calculator?

You can find the GCD of 87, 9, 20, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.