GCD of 720, 996, 12, 195 Calculator

Given Input numbers are 720, 996, 12, 195

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 720, 996, 12, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 996, 12, 195 is 3.

Therefore, GCD of numbers 720, 996, 12, 195 is 3

Given Input Data is 720, 996, 12, 195

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 195 is 3 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(720, 996) = 59760

GCD(720, 996) = ( 720 x 996 ) / 59760

GCD(720, 996) = 717120 / 59760

GCD(720, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 12

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

LCM(12, 12) = 12

GCD(12, 12) = ( 12 x 12 ) / 12

GCD(12, 12) = 144 / 12

GCD(12, 12) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 195

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

LCM(12, 195) = 780

GCD(12, 195) = ( 12 x 195 ) / 780

GCD(12, 195) = 2340 / 780

GCD(12, 195) = 3

GCD of 720, 996, 12, 195 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 410, 26, 598
• GCD of 710, 850, 30, 312
• GCD of 613, 378, 66, 849
• GCD of 207, 251, 66, 750
• GCD of 222, 143, 30, 879

1. What is the GCD of 720, 996, 12, 195?

GCD of 720, 996, 12, 195 is 3

2. Where do I get the detailed procedure to find GCD of 720, 996, 12, 195?

You can find a detailed procedure to find GCD of 720, 996, 12, 195 on our page.

3. How to find GCD of 720, 996, 12, 195 on a calculator?

You can find the GCD of 720, 996, 12, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.