GCD of 338, 627, 30, 172 Calculator

Given Input numbers are 338, 627, 30, 172

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 338, 627, 30, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 627, 30, 172 is 1.

Therefore, GCD of numbers 338, 627, 30, 172 is 1

Given Input Data is 338, 627, 30, 172

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 627 is 3 x 11 x 19

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 172 is 2 x 2 x 43

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, 627) = 211926

GCD(338, 627) = ( 338 x 627 ) / 211926

GCD(338, 627) = 211926 / 211926

GCD(338, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 338, 627, 30, 172 is 1

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• GCD of 849, 194, 45, 712
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1. What is the GCD of 338, 627, 30, 172?

GCD of 338, 627, 30, 172 is 1

2. Where do I get the detailed procedure to find GCD of 338, 627, 30, 172?

You can find a detailed procedure to find GCD of 338, 627, 30, 172 on our page.

3. How to find GCD of 338, 627, 30, 172 on a calculator?

You can find the GCD of 338, 627, 30, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.