GCD of 733, 219, 39, 784 Calculator

Given Input numbers are 733, 219, 39, 784

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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

Greatest Common Divisior

We found the divisors of 733, 219, 39, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 219, 39, 784 is 1.

Therefore, GCD of numbers 733, 219, 39, 784 is 1

Given Input Data is 733, 219, 39, 784

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

Prime Factorization of 733 is 733

Prime Factorization of 219 is 3 x 73

Prime Factorization of 39 is 3 x 13

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

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(733, 219) = 160527

GCD(733, 219) = ( 733 x 219 ) / 160527

GCD(733, 219) = 160527 / 160527

GCD(733, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

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

GCD of 733, 219, 39, 784 is 1

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1. What is the GCD of 733, 219, 39, 784?

GCD of 733, 219, 39, 784 is 1

2. Where do I get the detailed procedure to find GCD of 733, 219, 39, 784?

You can find a detailed procedure to find GCD of 733, 219, 39, 784 on our page.

3. How to find GCD of 733, 219, 39, 784 on a calculator?

You can find the GCD of 733, 219, 39, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.