GCD of 784, 321, 823, 720 Calculator

Given Input numbers are 784, 321, 823, 720

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 784, 321, 823, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 321, 823, 720 is 1.

Therefore, GCD of numbers 784, 321, 823, 720 is 1

Given Input Data is 784, 321, 823, 720

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 321 is 3 x 107

Prime Factorization of 823 is 823

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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, 321) = 251664

GCD(784, 321) = ( 784 x 321 ) / 251664

GCD(784, 321) = 251664 / 251664

GCD(784, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 784, 321, 823, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 262, 923, 594
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• GCD of 843, 885, 580, 301

1. What is the GCD of 784, 321, 823, 720?

GCD of 784, 321, 823, 720 is 1

2. Where do I get the detailed procedure to find GCD of 784, 321, 823, 720?

You can find a detailed procedure to find GCD of 784, 321, 823, 720 on our page.

3. How to find GCD of 784, 321, 823, 720 on a calculator?

You can find the GCD of 784, 321, 823, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.