GCD of 97, 21, 14, 42 Calculator

Given Input numbers are 97, 21, 14, 42

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

Divisors of 97

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

1, 97

Divisors of 21

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

1, 3, 7, 21

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 97, 21, 14, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 21, 14, 42 is 1.

Therefore, GCD of numbers 97, 21, 14, 42 is 1

Given Input Data is 97, 21, 14, 42

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

Prime Factorization of 97 is 97

Prime Factorization of 21 is 3 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 42 is 2 x 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(97, 21) = 2037

GCD(97, 21) = ( 97 x 21 ) / 2037

GCD(97, 21) = 2037 / 2037

GCD(97, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 97, 21, 14, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 51, 38, 54
• GCD of 95, 85, 26, 64
• GCD of 42, 54, 20, 66
• GCD of 44, 73, 84, 92
• GCD of 36, 90, 33, 39

1. What is the GCD of 97, 21, 14, 42?

GCD of 97, 21, 14, 42 is 1

2. Where do I get the detailed procedure to find GCD of 97, 21, 14, 42?

You can find a detailed procedure to find GCD of 97, 21, 14, 42 on our page.

3. How to find GCD of 97, 21, 14, 42 on a calculator?

You can find the GCD of 97, 21, 14, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.