GCD of 21, 89, 75, 78 Calculator

Given Input numbers are 21, 89, 75, 78

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 78

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

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

Greatest Common Divisior

We found the divisors of 21, 89, 75, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 89, 75, 78 is 1.

Therefore, GCD of numbers 21, 89, 75, 78 is 1

Given Input Data is 21, 89, 75, 78

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 89 is 89

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 78 is 2 x 3 x 13

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(21, 89) = 1869

GCD(21, 89) = ( 21 x 89 ) / 1869

GCD(21, 89) = 1869 / 1869

GCD(21, 89) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

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

GCD of 21, 89, 75, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 19, 53, 41
• GCD of 22, 55, 78, 66
• GCD of 75, 61, 58, 87
• GCD of 99, 10, 18, 64
• GCD of 50, 65, 83, 75

1. What is the GCD of 21, 89, 75, 78?

GCD of 21, 89, 75, 78 is 1

2. Where do I get the detailed procedure to find GCD of 21, 89, 75, 78?

You can find a detailed procedure to find GCD of 21, 89, 75, 78 on our page.

3. How to find GCD of 21, 89, 75, 78 on a calculator?

You can find the GCD of 21, 89, 75, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.