GCD of 316, 417, 226, 704 Calculator

Given Input numbers are 316, 417, 226, 704

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 316, 417, 226, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 417, 226, 704 is 1.

Therefore, GCD of numbers 316, 417, 226, 704 is 1

Given Input Data is 316, 417, 226, 704

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 417 is 3 x 139

Prime Factorization of 226 is 2 x 113

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(316, 417) = 131772

GCD(316, 417) = ( 316 x 417 ) / 131772

GCD(316, 417) = 131772 / 131772

GCD(316, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 316, 417, 226, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 715, 704, 665
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• GCD of 784, 581, 970, 671
• GCD of 773, 458, 293, 333

1. What is the GCD of 316, 417, 226, 704?

GCD of 316, 417, 226, 704 is 1

2. Where do I get the detailed procedure to find GCD of 316, 417, 226, 704?

You can find a detailed procedure to find GCD of 316, 417, 226, 704 on our page.

3. How to find GCD of 316, 417, 226, 704 on a calculator?

You can find the GCD of 316, 417, 226, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.