GCD of 784, 905, 45, 318 Calculator

Given Input numbers are 784, 905, 45, 318

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 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 784, 905, 45, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 905, 45, 318 is 1.

Therefore, GCD of numbers 784, 905, 45, 318 is 1

Given Input Data is 784, 905, 45, 318

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 905 is 5 x 181

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 318 is 2 x 3 x 53

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, 905) = 709520

GCD(784, 905) = ( 784 x 905 ) / 709520

GCD(784, 905) = 709520 / 709520

GCD(784, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 784, 905, 45, 318 is 1

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• GCD of 348, 906, 14, 330
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1. What is the GCD of 784, 905, 45, 318?

GCD of 784, 905, 45, 318 is 1

2. Where do I get the detailed procedure to find GCD of 784, 905, 45, 318?

You can find a detailed procedure to find GCD of 784, 905, 45, 318 on our page.

3. How to find GCD of 784, 905, 45, 318 on a calculator?

You can find the GCD of 784, 905, 45, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.