GCD of 990, 359, 46, 438 Calculator

Given Input numbers are 990, 359, 46, 438

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 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 990, 359, 46, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 359, 46, 438 is 1.

Therefore, GCD of numbers 990, 359, 46, 438 is 1

Given Input Data is 990, 359, 46, 438

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 359 is 359

Prime Factorization of 46 is 2 x 23

Prime Factorization of 438 is 2 x 3 x 73

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, 359) = 355410

GCD(990, 359) = ( 990 x 359 ) / 355410

GCD(990, 359) = 355410 / 355410

GCD(990, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 990, 359, 46, 438 is 1

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• GCD of 687, 345, 32, 747
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1. What is the GCD of 990, 359, 46, 438?

GCD of 990, 359, 46, 438 is 1

2. Where do I get the detailed procedure to find GCD of 990, 359, 46, 438?

You can find a detailed procedure to find GCD of 990, 359, 46, 438 on our page.

3. How to find GCD of 990, 359, 46, 438 on a calculator?

You can find the GCD of 990, 359, 46, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.