GCD of 17, 21, 74 Calculator

Given Input numbers are 17, 21, 74

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 21

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

1, 3, 7, 21

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 17, 21, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 21, 74 is 1.

Therefore, GCD of numbers 17, 21, 74 is 1

Given Input Data is 17, 21, 74

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

Prime Factorization of 17 is 17

Prime Factorization of 21 is 3 x 7

Prime Factorization of 74 is 2 x 37

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(17, 21) = 357

GCD(17, 21) = ( 17 x 21 ) / 357

GCD(17, 21) = 357 / 357

GCD(17, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 17, 21, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 15, 16
• GCD of 70, 74, 93
• GCD of 90, 93, 14
• GCD of 47, 45, 84
• GCD of 71, 40, 75

1. What is the GCD of 17, 21, 74?

GCD of 17, 21, 74 is 1

2. Where do I get the detailed procedure to find GCD of 17, 21, 74?

You can find a detailed procedure to find GCD of 17, 21, 74 on our page.

3. How to find GCD of 17, 21, 74 on a calculator?

You can find the GCD of 17, 21, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.