GCD of 364, 438, 781, 397 Calculator

Given Input numbers are 364, 438, 781, 397

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 781

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

1, 11, 71, 781

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 364, 438, 781, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 438, 781, 397 is 1.

Therefore, GCD of numbers 364, 438, 781, 397 is 1

Given Input Data is 364, 438, 781, 397

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 781 is 11 x 71

Prime Factorization of 397 is 397

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(364, 438) = 79716

GCD(364, 438) = ( 364 x 438 ) / 79716

GCD(364, 438) = 159432 / 79716

GCD(364, 438) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 364, 438, 781, 397 is 1

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1. What is the GCD of 364, 438, 781, 397?

GCD of 364, 438, 781, 397 is 1

2. Where do I get the detailed procedure to find GCD of 364, 438, 781, 397?

You can find a detailed procedure to find GCD of 364, 438, 781, 397 on our page.

3. How to find GCD of 364, 438, 781, 397 on a calculator?

You can find the GCD of 364, 438, 781, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.