GCD of 115, 436, 328, 784 Calculator

Given Input numbers are 115, 436, 328, 784

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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

Greatest Common Divisior

We found the divisors of 115, 436, 328, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 436, 328, 784 is 1.

Therefore, GCD of numbers 115, 436, 328, 784 is 1

Given Input Data is 115, 436, 328, 784

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

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(115, 436) = 50140

GCD(115, 436) = ( 115 x 436 ) / 50140

GCD(115, 436) = 50140 / 50140

GCD(115, 436) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 115, 436, 328, 784 is 1

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• GCD of 759, 354, 750, 954
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• GCD of 798, 180, 442, 290

1. What is the GCD of 115, 436, 328, 784?

GCD of 115, 436, 328, 784 is 1

2. Where do I get the detailed procedure to find GCD of 115, 436, 328, 784?

You can find a detailed procedure to find GCD of 115, 436, 328, 784 on our page.

3. How to find GCD of 115, 436, 328, 784 on a calculator?

You can find the GCD of 115, 436, 328, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.