GCD of 359, 716, 338, 355 Calculator

Given Input numbers are 359, 716, 338, 355

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

Divisors of 359

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

1, 359

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 359, 716, 338, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 716, 338, 355 is 1.

Therefore, GCD of numbers 359, 716, 338, 355 is 1

Given Input Data is 359, 716, 338, 355

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

Prime Factorization of 359 is 359

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 355 is 5 x 71

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(359, 716) = 257044

GCD(359, 716) = ( 359 x 716 ) / 257044

GCD(359, 716) = 257044 / 257044

GCD(359, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 359, 716, 338, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 929, 169, 358
• GCD of 664, 271, 811, 446
• GCD of 276, 629, 221, 223
• GCD of 357, 784, 698, 591
• GCD of 171, 873, 776, 856

1. What is the GCD of 359, 716, 338, 355?

GCD of 359, 716, 338, 355 is 1

2. Where do I get the detailed procedure to find GCD of 359, 716, 338, 355?

You can find a detailed procedure to find GCD of 359, 716, 338, 355 on our page.

3. How to find GCD of 359, 716, 338, 355 on a calculator?

You can find the GCD of 359, 716, 338, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.