GCD of 338, 915, 351, 920 Calculator

Given Input numbers are 338, 915, 351, 920

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 338, 915, 351, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 915, 351, 920 is 1.

Therefore, GCD of numbers 338, 915, 351, 920 is 1

Given Input Data is 338, 915, 351, 920

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(338, 915) = 309270

GCD(338, 915) = ( 338 x 915 ) / 309270

GCD(338, 915) = 309270 / 309270

GCD(338, 915) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 338, 915, 351, 920 is 1

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1. What is the GCD of 338, 915, 351, 920?

GCD of 338, 915, 351, 920 is 1

2. Where do I get the detailed procedure to find GCD of 338, 915, 351, 920?

You can find a detailed procedure to find GCD of 338, 915, 351, 920 on our page.

3. How to find GCD of 338, 915, 351, 920 on a calculator?

You can find the GCD of 338, 915, 351, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.