GCD of 93, 42, 17, 74 Calculator

Given Input numbers are 93, 42, 17, 74

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 42

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

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

Divisors of 17

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

1, 17

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 93, 42, 17, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 42, 17, 74 is 1.

Therefore, GCD of numbers 93, 42, 17, 74 is 1

Given Input Data is 93, 42, 17, 74

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 17 is 17

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(93, 42) = 1302

GCD(93, 42) = ( 93 x 42 ) / 1302

GCD(93, 42) = 3906 / 1302

GCD(93, 42) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

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 93, 42, 17, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 10, 98, 27
• GCD of 52, 21, 84, 69
• GCD of 23, 87, 41, 46
• GCD of 46, 78, 72, 89
• GCD of 54, 59, 98, 49

1. What is the GCD of 93, 42, 17, 74?

GCD of 93, 42, 17, 74 is 1

2. Where do I get the detailed procedure to find GCD of 93, 42, 17, 74?

You can find a detailed procedure to find GCD of 93, 42, 17, 74 on our page.

3. How to find GCD of 93, 42, 17, 74 on a calculator?

You can find the GCD of 93, 42, 17, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.