GCD of 42, 69, 84, 73 Calculator

Given Input numbers are 42, 69, 84, 73

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

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Greatest Common Divisior

We found the divisors of 42, 69, 84, 73 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 69, 84, 73 is 1.

Therefore, GCD of numbers 42, 69, 84, 73 is 1

Given Input Data is 42, 69, 84, 73

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 73 is 73

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(42, 69) = 966

GCD(42, 69) = ( 42 x 69 ) / 966

GCD(42, 69) = 2898 / 966

GCD(42, 69) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

GCD of 42, 69, 84, 73 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 64, 91, 27
• GCD of 59, 61, 79, 78
• GCD of 75, 83, 71, 79
• GCD of 12, 35, 47, 11
• GCD of 72, 93, 93, 13

1. What is the GCD of 42, 69, 84, 73?

GCD of 42, 69, 84, 73 is 1

2. Where do I get the detailed procedure to find GCD of 42, 69, 84, 73?

You can find a detailed procedure to find GCD of 42, 69, 84, 73 on our page.

3. How to find GCD of 42, 69, 84, 73 on a calculator?

You can find the GCD of 42, 69, 84, 73 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.