GCD of 381, 964, 538 Calculator

Given Input numbers are 381, 964, 538

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 381, 964, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 964, 538 is 1.

Therefore, GCD of numbers 381, 964, 538 is 1

Given Input Data is 381, 964, 538

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 538 is 2 x 269

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(381, 964) = 367284

GCD(381, 964) = ( 381 x 964 ) / 367284

GCD(381, 964) = 367284 / 367284

GCD(381, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 381, 964, 538 is 1

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1. What is the GCD of 381, 964, 538?

GCD of 381, 964, 538 is 1

2. Where do I get the detailed procedure to find GCD of 381, 964, 538?

You can find a detailed procedure to find GCD of 381, 964, 538 on our page.

3. How to find GCD of 381, 964, 538 on a calculator?

You can find the GCD of 381, 964, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.