GCD of 73, 6, 30, 65 Calculator

Given Input numbers are 73, 6, 30, 65

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

Divisors of 73

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

1, 73

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 73, 6, 30, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 6, 30, 65 is 1.

Therefore, GCD of numbers 73, 6, 30, 65 is 1

Given Input Data is 73, 6, 30, 65

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

Prime Factorization of 73 is 73

Prime Factorization of 6 is 2 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 65 is 5 x 13

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(73, 6) = 438

GCD(73, 6) = ( 73 x 6 ) / 438

GCD(73, 6) = 438 / 438

GCD(73, 6) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 73, 6, 30, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 5, 95, 46
• GCD of 71, 4, 81, 86
• GCD of 24, 3, 68, 28
• GCD of 16, 9, 36, 72
• GCD of 73, 8, 17, 10

1. What is the GCD of 73, 6, 30, 65?

GCD of 73, 6, 30, 65 is 1

2. Where do I get the detailed procedure to find GCD of 73, 6, 30, 65?

You can find a detailed procedure to find GCD of 73, 6, 30, 65 on our page.

3. How to find GCD of 73, 6, 30, 65 on a calculator?

You can find the GCD of 73, 6, 30, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.