GCD of 438, 832, 90, 519 Calculator

Given Input numbers are 438, 832, 90, 519

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

Divisors of 438

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

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 438, 832, 90, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 832, 90, 519 is 1.

Therefore, GCD of numbers 438, 832, 90, 519 is 1

Given Input Data is 438, 832, 90, 519

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 519 is 3 x 173

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(438, 832) = 182208

GCD(438, 832) = ( 438 x 832 ) / 182208

GCD(438, 832) = 364416 / 182208

GCD(438, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

GCD of 438, 832, 90, 519 is 1

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• GCD of 308, 245, 68, 900
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1. What is the GCD of 438, 832, 90, 519?

GCD of 438, 832, 90, 519 is 1

2. Where do I get the detailed procedure to find GCD of 438, 832, 90, 519?

You can find a detailed procedure to find GCD of 438, 832, 90, 519 on our page.

3. How to find GCD of 438, 832, 90, 519 on a calculator?

You can find the GCD of 438, 832, 90, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.