GCD of 18, 9, 76, 77 Calculator

Given Input numbers are 18, 9, 76, 77

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 9

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

1, 3, 9

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 18, 9, 76, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 9, 76, 77 is 1.

Therefore, GCD of numbers 18, 9, 76, 77 is 1

Given Input Data is 18, 9, 76, 77

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 9 is 3 x 3

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 77 is 7 x 11

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(18, 9) = 18

GCD(18, 9) = ( 18 x 9 ) / 18

GCD(18, 9) = 162 / 18

GCD(18, 9) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 76

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

LCM(9, 76) = 684

GCD(9, 76) = ( 9 x 76 ) / 684

GCD(9, 76) = 684 / 684

GCD(9, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

GCD of 18, 9, 76, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 8, 61, 51
• GCD of 55, 8, 91, 23
• GCD of 79, 1, 46, 67
• GCD of 70, 1, 51, 48
• GCD of 64, 2, 27, 80

1. What is the GCD of 18, 9, 76, 77?

GCD of 18, 9, 76, 77 is 1

2. Where do I get the detailed procedure to find GCD of 18, 9, 76, 77?

You can find a detailed procedure to find GCD of 18, 9, 76, 77 on our page.

3. How to find GCD of 18, 9, 76, 77 on a calculator?

You can find the GCD of 18, 9, 76, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.