GCD of 73, 54, 69, 59 Calculator

Given Input numbers are 73, 54, 69, 59

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 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 69

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

1, 3, 23, 69

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 73, 54, 69, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 54, 69, 59 is 1.

Therefore, GCD of numbers 73, 54, 69, 59 is 1

Given Input Data is 73, 54, 69, 59

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

Prime Factorization of 73 is 73

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 69 is 3 x 23

Prime Factorization of 59 is 59

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, 54) = 3942

GCD(73, 54) = ( 73 x 54 ) / 3942

GCD(73, 54) = 3942 / 3942

GCD(73, 54) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 73, 54, 69, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 25, 91, 91
• GCD of 10, 93, 10, 80
• GCD of 80, 10, 96, 81
• GCD of 36, 70, 43, 14
• GCD of 96, 38, 59, 44

1. What is the GCD of 73, 54, 69, 59?

GCD of 73, 54, 69, 59 is 1

2. Where do I get the detailed procedure to find GCD of 73, 54, 69, 59?

You can find a detailed procedure to find GCD of 73, 54, 69, 59 on our page.

3. How to find GCD of 73, 54, 69, 59 on a calculator?

You can find the GCD of 73, 54, 69, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.