GCD of 784, 219, 84, 924 Calculator

Given Input numbers are 784, 219, 84, 924

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 219

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

1, 3, 73, 219

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 784, 219, 84, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 219, 84, 924 is 1.

Therefore, GCD of numbers 784, 219, 84, 924 is 1

Given Input Data is 784, 219, 84, 924

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 219 is 3 x 73

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 924 is 2 x 2 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(784, 219) = 171696

GCD(784, 219) = ( 784 x 219 ) / 171696

GCD(784, 219) = 171696 / 171696

GCD(784, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 784, 219, 84, 924 is 1

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• GCD of 465, 148, 77, 261
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• GCD of 172, 863, 54, 679

1. What is the GCD of 784, 219, 84, 924?

GCD of 784, 219, 84, 924 is 1

2. Where do I get the detailed procedure to find GCD of 784, 219, 84, 924?

You can find a detailed procedure to find GCD of 784, 219, 84, 924 on our page.

3. How to find GCD of 784, 219, 84, 924 on a calculator?

You can find the GCD of 784, 219, 84, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.