GCD of 371, 706, 855, 338 Calculator

Given Input numbers are 371, 706, 855, 338

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 371, 706, 855, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 706, 855, 338 is 1.

Therefore, GCD of numbers 371, 706, 855, 338 is 1

Given Input Data is 371, 706, 855, 338

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 706 is 2 x 353

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 338 is 2 x 13 x 13

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(371, 706) = 261926

GCD(371, 706) = ( 371 x 706 ) / 261926

GCD(371, 706) = 261926 / 261926

GCD(371, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

Step3:

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

GCD of 371, 706, 855, 338 is 1

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1. What is the GCD of 371, 706, 855, 338?

GCD of 371, 706, 855, 338 is 1

2. Where do I get the detailed procedure to find GCD of 371, 706, 855, 338?

You can find a detailed procedure to find GCD of 371, 706, 855, 338 on our page.

3. How to find GCD of 371, 706, 855, 338 on a calculator?

You can find the GCD of 371, 706, 855, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.