GCD of 107, 338, 641, 321 Calculator

Given Input numbers are 107, 338, 641, 321

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 107, 338, 641, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 338, 641, 321 is 1.

Therefore, GCD of numbers 107, 338, 641, 321 is 1

Given Input Data is 107, 338, 641, 321

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

Prime Factorization of 107 is 107

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 641 is 641

Prime Factorization of 321 is 3 x 107

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(107, 338) = 36166

GCD(107, 338) = ( 107 x 338 ) / 36166

GCD(107, 338) = 36166 / 36166

GCD(107, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 641

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

LCM(1, 641) = 641

GCD(1, 641) = ( 1 x 641 ) / 641

GCD(1, 641) = 641 / 641

GCD(1, 641) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 107, 338, 641, 321 is 1

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1. What is the GCD of 107, 338, 641, 321?

GCD of 107, 338, 641, 321 is 1

2. Where do I get the detailed procedure to find GCD of 107, 338, 641, 321?

You can find a detailed procedure to find GCD of 107, 338, 641, 321 on our page.

3. How to find GCD of 107, 338, 641, 321 on a calculator?

You can find the GCD of 107, 338, 641, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.