GCD of 131, 845, 90, 123 Calculator

Given Input numbers are 131, 845, 90, 123

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 131, 845, 90, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 845, 90, 123 is 1.

Therefore, GCD of numbers 131, 845, 90, 123 is 1

Given Input Data is 131, 845, 90, 123

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

Prime Factorization of 131 is 131

Prime Factorization of 845 is 5 x 13 x 13

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

Prime Factorization of 123 is 3 x 41

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(131, 845) = 110695

GCD(131, 845) = ( 131 x 845 ) / 110695

GCD(131, 845) = 110695 / 110695

GCD(131, 845) = 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 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 131, 845, 90, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 212, 31, 575
• GCD of 505, 717, 55, 727
• GCD of 332, 300, 20, 178
• GCD of 847, 862, 84, 109
• GCD of 657, 886, 19, 669

1. What is the GCD of 131, 845, 90, 123?

GCD of 131, 845, 90, 123 is 1

2. Where do I get the detailed procedure to find GCD of 131, 845, 90, 123?

You can find a detailed procedure to find GCD of 131, 845, 90, 123 on our page.

3. How to find GCD of 131, 845, 90, 123 on a calculator?

You can find the GCD of 131, 845, 90, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.