GCD of 57, 784, 576, 693 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 57, 784, 576, 693 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 784, 576, 693 is 1

GCD(57, 784, 576, 693) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 57, 784, 576, 693 is 1

GCD(57, 784, 576, 693) = 1

GCD of 57,784,576,693 Calculator

GCDof 57,784,576,693 is 1

Given Input numbers are 57, 784, 576, 693

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 57, 784, 576, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 784, 576, 693 is 1.

Therefore, GCD of numbers 57, 784, 576, 693 is 1

Finding GCD of 57, 784, 576, 693 using Prime Factorization

Given Input Data is 57, 784, 576, 693

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

Prime Factorization of 57 is 3 x 19

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Finding GCD of 57, 784, 576, 693 using LCM Formula

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(57, 784) = 44688

GCD(57, 784) = ( 57 x 784 ) / 44688

GCD(57, 784) = 44688 / 44688

GCD(57, 784) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 57, 784, 576, 693 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 784, 576, 693

1. What is the GCD of 57, 784, 576, 693?

GCD of 57, 784, 576, 693 is 1


2. Where do I get the detailed procedure to find GCD of 57, 784, 576, 693?

You can find a detailed procedure to find GCD of 57, 784, 576, 693 on our page.


3. How to find GCD of 57, 784, 576, 693 on a calculator?

You can find the GCD of 57, 784, 576, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.