GCD of 11, 9, 78, 10 Calculator

Given Input numbers are 11, 9, 78, 10

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 9

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

1, 3, 9

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 11, 9, 78, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 9, 78, 10 is 1.

Therefore, GCD of numbers 11, 9, 78, 10 is 1

Given Input Data is 11, 9, 78, 10

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

Prime Factorization of 11 is 11

Prime Factorization of 9 is 3 x 3

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 10 is 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(11, 9) = 99

GCD(11, 9) = ( 11 x 9 ) / 99

GCD(11, 9) = 99 / 99

GCD(11, 9) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 11, 9, 78, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 4, 60, 76
• GCD of 46, 3, 69, 77
• GCD of 77, 3, 53, 10
• GCD of 99, 3, 12, 67
• GCD of 76, 2, 98, 79

1. What is the GCD of 11, 9, 78, 10?

GCD of 11, 9, 78, 10 is 1

2. Where do I get the detailed procedure to find GCD of 11, 9, 78, 10?

You can find a detailed procedure to find GCD of 11, 9, 78, 10 on our page.

3. How to find GCD of 11, 9, 78, 10 on a calculator?

You can find the GCD of 11, 9, 78, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.