GCD of 180, 334, 68, 947 Calculator

Given Input numbers are 180, 334, 68, 947

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

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 180, 334, 68, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 334, 68, 947 is 1.

Therefore, GCD of numbers 180, 334, 68, 947 is 1

Given Input Data is 180, 334, 68, 947

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

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 947 is 947

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(180, 334) = 30060

GCD(180, 334) = ( 180 x 334 ) / 30060

GCD(180, 334) = 60120 / 30060

GCD(180, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

GCD of 180, 334, 68, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 828, 82, 614
• GCD of 666, 647, 24, 352
• GCD of 790, 780, 99, 577
• GCD of 669, 751, 91, 451
• GCD of 805, 535, 70, 874

1. What is the GCD of 180, 334, 68, 947?

GCD of 180, 334, 68, 947 is 1

2. Where do I get the detailed procedure to find GCD of 180, 334, 68, 947?

You can find a detailed procedure to find GCD of 180, 334, 68, 947 on our page.

3. How to find GCD of 180, 334, 68, 947 on a calculator?

You can find the GCD of 180, 334, 68, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.