GCD of 25, 31, 99, 90 Calculator

Given Input numbers are 25, 31, 99, 90

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 31

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

1, 31

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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

Greatest Common Divisior

We found the divisors of 25, 31, 99, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 31, 99, 90 is 1.

Therefore, GCD of numbers 25, 31, 99, 90 is 1

Given Input Data is 25, 31, 99, 90

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 31 is 31

Prime Factorization of 99 is 3 x 3 x 11

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

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(25, 31) = 775

GCD(25, 31) = ( 25 x 31 ) / 775

GCD(25, 31) = 775 / 775

GCD(25, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

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

GCD of 25, 31, 99, 90 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 44, 46, 30
• GCD of 81, 22, 62, 30
• GCD of 48, 24, 70, 64
• GCD of 39, 82, 55, 55
• GCD of 56, 79, 43, 47

1. What is the GCD of 25, 31, 99, 90?

GCD of 25, 31, 99, 90 is 1

2. Where do I get the detailed procedure to find GCD of 25, 31, 99, 90?

You can find a detailed procedure to find GCD of 25, 31, 99, 90 on our page.

3. How to find GCD of 25, 31, 99, 90 on a calculator?

You can find the GCD of 25, 31, 99, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.