GCD of 990, 243, 77, 525 Calculator

Given Input numbers are 990, 243, 77, 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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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, 243, 77, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 243, 77, 525 is 1.

Therefore, GCD of numbers 990, 243, 77, 525 is 1

Given Input Data is 990, 243, 77, 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 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 77 is 7 x 11

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, 243) = 26730

GCD(990, 243) = ( 990 x 243 ) / 26730

GCD(990, 243) = 240570 / 26730

GCD(990, 243) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 77

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

LCM(9, 77) = 693

GCD(9, 77) = ( 9 x 77 ) / 693

GCD(9, 77) = 693 / 693

GCD(9, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 990, 243, 77, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 690, 66, 457
• GCD of 227, 145, 36, 265
• GCD of 203, 870, 56, 843
• GCD of 173, 710, 99, 939
• GCD of 353, 341, 35, 405

1. What is the GCD of 990, 243, 77, 525?

GCD of 990, 243, 77, 525 is 1

2. Where do I get the detailed procedure to find GCD of 990, 243, 77, 525?

You can find a detailed procedure to find GCD of 990, 243, 77, 525 on our page.

3. How to find GCD of 990, 243, 77, 525 on a calculator?

You can find the GCD of 990, 243, 77, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.