GCD of 825, 954, 17, 506 Calculator

Given Input numbers are 825, 954, 17, 506

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 825, 954, 17, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 954, 17, 506 is 1.

Therefore, GCD of numbers 825, 954, 17, 506 is 1

Given Input Data is 825, 954, 17, 506

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 17 is 17

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(825, 954) = 262350

GCD(825, 954) = ( 825 x 954 ) / 262350

GCD(825, 954) = 787050 / 262350

GCD(825, 954) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 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 825, 954, 17, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 666, 81, 639
• GCD of 222, 904, 77, 735
• GCD of 296, 472, 19, 823
• GCD of 756, 328, 58, 734
• GCD of 335, 116, 59, 599

1. What is the GCD of 825, 954, 17, 506?

GCD of 825, 954, 17, 506 is 1

2. Where do I get the detailed procedure to find GCD of 825, 954, 17, 506?

You can find a detailed procedure to find GCD of 825, 954, 17, 506 on our page.

3. How to find GCD of 825, 954, 17, 506 on a calculator?

You can find the GCD of 825, 954, 17, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.