GCD of 384, 784, 456, 693 Calculator

Given Input numbers are 384, 784, 456, 693

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 384, 784, 456, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 784, 456, 693 is 1.

Therefore, GCD of numbers 384, 784, 456, 693 is 1

Given Input Data is 384, 784, 456, 693

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(384, 784) = 18816

GCD(384, 784) = ( 384 x 784 ) / 18816

GCD(384, 784) = 301056 / 18816

GCD(384, 784) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 456

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

LCM(16, 456) = 912

GCD(16, 456) = ( 16 x 456 ) / 912

GCD(16, 456) = 7296 / 912

GCD(16, 456) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 693

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

LCM(8, 693) = 5544

GCD(8, 693) = ( 8 x 693 ) / 5544

GCD(8, 693) = 5544 / 5544

GCD(8, 693) = 1

GCD of 384, 784, 456, 693 is 1

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1. What is the GCD of 384, 784, 456, 693?

GCD of 384, 784, 456, 693 is 1

2. Where do I get the detailed procedure to find GCD of 384, 784, 456, 693?

You can find a detailed procedure to find GCD of 384, 784, 456, 693 on our page.

3. How to find GCD of 384, 784, 456, 693 on a calculator?

You can find the GCD of 384, 784, 456, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.