GCD of 990, 453, 826, 380 Calculator

Given Input numbers are 990, 453, 826, 380

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 990, 453, 826, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 453, 826, 380 is 1.

Therefore, GCD of numbers 990, 453, 826, 380 is 1

Given Input Data is 990, 453, 826, 380

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 453 is 3 x 151

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 380 is 2 x 2 x 5 x 19

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, 453) = 149490

GCD(990, 453) = ( 990 x 453 ) / 149490

GCD(990, 453) = 448470 / 149490

GCD(990, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 826

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

LCM(3, 826) = 2478

GCD(3, 826) = ( 3 x 826 ) / 2478

GCD(3, 826) = 2478 / 2478

GCD(3, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 990, 453, 826, 380 is 1

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1. What is the GCD of 990, 453, 826, 380?

GCD of 990, 453, 826, 380 is 1

2. Where do I get the detailed procedure to find GCD of 990, 453, 826, 380?

You can find a detailed procedure to find GCD of 990, 453, 826, 380 on our page.

3. How to find GCD of 990, 453, 826, 380 on a calculator?

You can find the GCD of 990, 453, 826, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.