GCD of 78, 97, 71, 21 Calculator

Given Input numbers are 78, 97, 71, 21

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

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 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 21

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

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 78, 97, 71, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 97, 71, 21 is 1.

Therefore, GCD of numbers 78, 97, 71, 21 is 1

Given Input Data is 78, 97, 71, 21

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 97 is 97

Prime Factorization of 71 is 71

Prime Factorization of 21 is 3 x 7

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(78, 97) = 7566

GCD(78, 97) = ( 78 x 97 ) / 7566

GCD(78, 97) = 7566 / 7566

GCD(78, 97) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 78, 97, 71, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 77, 42, 63
• GCD of 20, 43, 89, 81
• GCD of 91, 90, 39, 78
• GCD of 40, 93, 32, 27
• GCD of 89, 51, 20, 37

1. What is the GCD of 78, 97, 71, 21?

GCD of 78, 97, 71, 21 is 1

2. Where do I get the detailed procedure to find GCD of 78, 97, 71, 21?

You can find a detailed procedure to find GCD of 78, 97, 71, 21 on our page.

3. How to find GCD of 78, 97, 71, 21 on a calculator?

You can find the GCD of 78, 97, 71, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.