GCD of 75, 79, 72, 59 Calculator

Given Input numbers are 75, 79, 72, 59

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 75, 79, 72, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 79, 72, 59 is 1.

Therefore, GCD of numbers 75, 79, 72, 59 is 1

Given Input Data is 75, 79, 72, 59

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 79 is 79

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(75, 79) = 5925

GCD(75, 79) = ( 75 x 79 ) / 5925

GCD(75, 79) = 5925 / 5925

GCD(75, 79) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 75, 79, 72, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 75, 56, 31
• GCD of 86, 14, 95, 63
• GCD of 89, 42, 99, 88
• GCD of 34, 96, 66, 87
• GCD of 61, 71, 48, 29

1. What is the GCD of 75, 79, 72, 59?

GCD of 75, 79, 72, 59 is 1

2. Where do I get the detailed procedure to find GCD of 75, 79, 72, 59?

You can find a detailed procedure to find GCD of 75, 79, 72, 59 on our page.

3. How to find GCD of 75, 79, 72, 59 on a calculator?

You can find the GCD of 75, 79, 72, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.