GCD of 990, 794, 756, 525 Calculator

Given Input numbers are 990, 794, 756, 525

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 990, 794, 756, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 794, 756, 525 is 1.

Therefore, GCD of numbers 990, 794, 756, 525 is 1

Given Input Data is 990, 794, 756, 525

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 794 is 2 x 397

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(990, 794) = 393030

GCD(990, 794) = ( 990 x 794 ) / 393030

GCD(990, 794) = 786060 / 393030

GCD(990, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 525

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

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

GCD(2, 525) = 1050 / 1050

GCD(2, 525) = 1

GCD of 990, 794, 756, 525 is 1

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1. What is the GCD of 990, 794, 756, 525?

GCD of 990, 794, 756, 525 is 1

2. Where do I get the detailed procedure to find GCD of 990, 794, 756, 525?

You can find a detailed procedure to find GCD of 990, 794, 756, 525 on our page.

3. How to find GCD of 990, 794, 756, 525 on a calculator?

You can find the GCD of 990, 794, 756, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.