GCD of 784, 732, 38, 389 Calculator

Given Input numbers are 784, 732, 38, 389

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

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 784, 732, 38, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 732, 38, 389 is 1.

Therefore, GCD of numbers 784, 732, 38, 389 is 1

Given Input Data is 784, 732, 38, 389

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

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 38 is 2 x 19

Prime Factorization of 389 is 389

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(784, 732) = 143472

GCD(784, 732) = ( 784 x 732 ) / 143472

GCD(784, 732) = 573888 / 143472

GCD(784, 732) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 389

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

LCM(2, 389) = 778

GCD(2, 389) = ( 2 x 389 ) / 778

GCD(2, 389) = 778 / 778

GCD(2, 389) = 1

GCD of 784, 732, 38, 389 is 1

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• GCD of 450, 259, 28, 810
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1. What is the GCD of 784, 732, 38, 389?

GCD of 784, 732, 38, 389 is 1

2. Where do I get the detailed procedure to find GCD of 784, 732, 38, 389?

You can find a detailed procedure to find GCD of 784, 732, 38, 389 on our page.

3. How to find GCD of 784, 732, 38, 389 on a calculator?

You can find the GCD of 784, 732, 38, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.