GCD of 79, 31, 90, 23 Calculator

Given Input numbers are 79, 31, 90, 23

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

Divisors of 79

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

1, 79

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Greatest Common Divisior

We found the divisors of 79, 31, 90, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 31, 90, 23 is 1.

Therefore, GCD of numbers 79, 31, 90, 23 is 1

Given Input Data is 79, 31, 90, 23

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

Prime Factorization of 79 is 79

Prime Factorization of 31 is 31

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 23 is 23

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(79, 31) = 2449

GCD(79, 31) = ( 79 x 31 ) / 2449

GCD(79, 31) = 2449 / 2449

GCD(79, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

GCD of 79, 31, 90, 23 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 21, 21, 55
• GCD of 98, 96, 37, 95
• GCD of 82, 70, 85, 52
• GCD of 33, 42, 39, 51
• GCD of 64, 33, 68, 35

1. What is the GCD of 79, 31, 90, 23?

GCD of 79, 31, 90, 23 is 1

2. Where do I get the detailed procedure to find GCD of 79, 31, 90, 23?

You can find a detailed procedure to find GCD of 79, 31, 90, 23 on our page.

3. How to find GCD of 79, 31, 90, 23 on a calculator?

You can find the GCD of 79, 31, 90, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.