GCD of 34, 530, 825, 996 Calculator

Given Input numbers are 34, 530, 825, 996

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 34, 530, 825, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 530, 825, 996 is 1.

Therefore, GCD of numbers 34, 530, 825, 996 is 1

Given Input Data is 34, 530, 825, 996

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 530 is 2 x 5 x 53

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(34, 530) = 9010

GCD(34, 530) = ( 34 x 530 ) / 9010

GCD(34, 530) = 18020 / 9010

GCD(34, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 34, 530, 825, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 566, 922, 979
• GCD of 11, 985, 166, 274
• GCD of 14, 587, 198, 148
• GCD of 14, 622, 967, 460
• GCD of 42, 220, 902, 437

1. What is the GCD of 34, 530, 825, 996?

GCD of 34, 530, 825, 996 is 1

2. Where do I get the detailed procedure to find GCD of 34, 530, 825, 996?

You can find a detailed procedure to find GCD of 34, 530, 825, 996 on our page.

3. How to find GCD of 34, 530, 825, 996 on a calculator?

You can find the GCD of 34, 530, 825, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.