GCD of 355, 323, 938, 415 Calculator

Given Input numbers are 355, 323, 938, 415

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

Divisors of 355

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

1, 5, 71, 355

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 355, 323, 938, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 323, 938, 415 is 1.

Therefore, GCD of numbers 355, 323, 938, 415 is 1

Given Input Data is 355, 323, 938, 415

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 323 is 17 x 19

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 415 is 5 x 83

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(355, 323) = 114665

GCD(355, 323) = ( 355 x 323 ) / 114665

GCD(355, 323) = 114665 / 114665

GCD(355, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 355, 323, 938, 415 is 1

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1. What is the GCD of 355, 323, 938, 415?

GCD of 355, 323, 938, 415 is 1

2. Where do I get the detailed procedure to find GCD of 355, 323, 938, 415?

You can find a detailed procedure to find GCD of 355, 323, 938, 415 on our page.

3. How to find GCD of 355, 323, 938, 415 on a calculator?

You can find the GCD of 355, 323, 938, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.