GCD of 113, 804, 90, 506 Calculator

Given Input numbers are 113, 804, 90, 506

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 113, 804, 90, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 804, 90, 506 is 1.

Therefore, GCD of numbers 113, 804, 90, 506 is 1

Given Input Data is 113, 804, 90, 506

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

Prime Factorization of 113 is 113

Prime Factorization of 804 is 2 x 2 x 3 x 67

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

Prime Factorization of 506 is 2 x 11 x 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(113, 804) = 90852

GCD(113, 804) = ( 113 x 804 ) / 90852

GCD(113, 804) = 90852 / 90852

GCD(113, 804) = 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 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 113, 804, 90, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 132, 32, 390
• GCD of 412, 938, 23, 190
• GCD of 263, 836, 96, 815
• GCD of 116, 473, 53, 672
• GCD of 478, 342, 80, 906

1. What is the GCD of 113, 804, 90, 506?

GCD of 113, 804, 90, 506 is 1

2. Where do I get the detailed procedure to find GCD of 113, 804, 90, 506?

You can find a detailed procedure to find GCD of 113, 804, 90, 506 on our page.

3. How to find GCD of 113, 804, 90, 506 on a calculator?

You can find the GCD of 113, 804, 90, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.