GCD of 438, 604, 827, 516 Calculator

Given Input numbers are 438, 604, 827, 516

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 438, 604, 827, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 604, 827, 516 is 1.

Therefore, GCD of numbers 438, 604, 827, 516 is 1

Given Input Data is 438, 604, 827, 516

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 604 is 2 x 2 x 151

Prime Factorization of 827 is 827

Prime Factorization of 516 is 2 x 2 x 3 x 43

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, 604) = 132276

GCD(438, 604) = ( 438 x 604 ) / 132276

GCD(438, 604) = 264552 / 132276

GCD(438, 604) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 438, 604, 827, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 382, 967, 761
• GCD of 520, 120, 917, 709
• GCD of 412, 276, 681, 380
• GCD of 814, 811, 347, 670
• GCD of 326, 641, 779, 628

1. What is the GCD of 438, 604, 827, 516?

GCD of 438, 604, 827, 516 is 1

2. Where do I get the detailed procedure to find GCD of 438, 604, 827, 516?

You can find a detailed procedure to find GCD of 438, 604, 827, 516 on our page.

3. How to find GCD of 438, 604, 827, 516 on a calculator?

You can find the GCD of 438, 604, 827, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.