GCD of 34, 180, 199, 675 Calculator

Given Input numbers are 34, 180, 199, 675

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 34, 180, 199, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 180, 199, 675 is 1.

Therefore, GCD of numbers 34, 180, 199, 675 is 1

Given Input Data is 34, 180, 199, 675

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 199 is 199

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(34, 180) = 3060

GCD(34, 180) = ( 34 x 180 ) / 3060

GCD(34, 180) = 6120 / 3060

GCD(34, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

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

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 34, 180, 199, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 487, 283, 957
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• GCD of 62, 798, 585, 871
• GCD of 14, 245, 225, 352
• GCD of 72, 869, 139, 981

1. What is the GCD of 34, 180, 199, 675?

GCD of 34, 180, 199, 675 is 1

2. Where do I get the detailed procedure to find GCD of 34, 180, 199, 675?

You can find a detailed procedure to find GCD of 34, 180, 199, 675 on our page.

3. How to find GCD of 34, 180, 199, 675 on a calculator?

You can find the GCD of 34, 180, 199, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.