GCD of 338, 715, 522, 155 Calculator

Given Input numbers are 338, 715, 522, 155

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 338, 715, 522, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 715, 522, 155 is 1.

Therefore, GCD of numbers 338, 715, 522, 155 is 1

Given Input Data is 338, 715, 522, 155

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 715 is 5 x 11 x 13

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 155 is 5 x 31

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, 715) = 18590

GCD(338, 715) = ( 338 x 715 ) / 18590

GCD(338, 715) = 241670 / 18590

GCD(338, 715) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 522

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

LCM(13, 522) = 6786

GCD(13, 522) = ( 13 x 522 ) / 6786

GCD(13, 522) = 6786 / 6786

GCD(13, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

GCD of 338, 715, 522, 155 is 1

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• GCD of 444, 752, 359, 390
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1. What is the GCD of 338, 715, 522, 155?

GCD of 338, 715, 522, 155 is 1

2. Where do I get the detailed procedure to find GCD of 338, 715, 522, 155?

You can find a detailed procedure to find GCD of 338, 715, 522, 155 on our page.

3. How to find GCD of 338, 715, 522, 155 on a calculator?

You can find the GCD of 338, 715, 522, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.