GCD of 784, 359, 752, 204 Calculator

Given Input numbers are 784, 359, 752, 204

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 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 784, 359, 752, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 359, 752, 204 is 1.

Therefore, GCD of numbers 784, 359, 752, 204 is 1

Given Input Data is 784, 359, 752, 204

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 359 is 359

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 204 is 2 x 2 x 3 x 17

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, 359) = 281456

GCD(784, 359) = ( 784 x 359 ) / 281456

GCD(784, 359) = 281456 / 281456

GCD(784, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 784, 359, 752, 204 is 1

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1. What is the GCD of 784, 359, 752, 204?

GCD of 784, 359, 752, 204 is 1

2. Where do I get the detailed procedure to find GCD of 784, 359, 752, 204?

You can find a detailed procedure to find GCD of 784, 359, 752, 204 on our page.

3. How to find GCD of 784, 359, 752, 204 on a calculator?

You can find the GCD of 784, 359, 752, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.