GCD of 438, 508, 814, 781 Calculator

Given Input numbers are 438, 508, 814, 781

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 438, 508, 814, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 508, 814, 781 is 1.

Therefore, GCD of numbers 438, 508, 814, 781 is 1

Given Input Data is 438, 508, 814, 781

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 508 is 2 x 2 x 127

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 781 is 11 x 71

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, 508) = 111252

GCD(438, 508) = ( 438 x 508 ) / 111252

GCD(438, 508) = 222504 / 111252

GCD(438, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 438, 508, 814, 781 is 1

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1. What is the GCD of 438, 508, 814, 781?

GCD of 438, 508, 814, 781 is 1

2. Where do I get the detailed procedure to find GCD of 438, 508, 814, 781?

You can find a detailed procedure to find GCD of 438, 508, 814, 781 on our page.

3. How to find GCD of 438, 508, 814, 781 on a calculator?

You can find the GCD of 438, 508, 814, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.