GCD of 381, 215, 784, 744 Calculator

Given Input numbers are 381, 215, 784, 744

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 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 381, 215, 784, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 215, 784, 744 is 1.

Therefore, GCD of numbers 381, 215, 784, 744 is 1

Given Input Data is 381, 215, 784, 744

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 215 is 5 x 43

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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, 215) = 81915

GCD(381, 215) = ( 381 x 215 ) / 81915

GCD(381, 215) = 81915 / 81915

GCD(381, 215) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 381, 215, 784, 744 is 1

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1. What is the GCD of 381, 215, 784, 744?

GCD of 381, 215, 784, 744 is 1

2. Where do I get the detailed procedure to find GCD of 381, 215, 784, 744?

You can find a detailed procedure to find GCD of 381, 215, 784, 744 on our page.

3. How to find GCD of 381, 215, 784, 744 on a calculator?

You can find the GCD of 381, 215, 784, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.