GCD of 180, 315, 96, 109 Calculator

Given Input numbers are 180, 315, 96, 109

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 180, 315, 96, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 315, 96, 109 is 1.

Therefore, GCD of numbers 180, 315, 96, 109 is 1

Given Input Data is 180, 315, 96, 109

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 109 is 109

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, 315) = 1260

GCD(180, 315) = ( 180 x 315 ) / 1260

GCD(180, 315) = 56700 / 1260

GCD(180, 315) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 96

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

LCM(45, 96) = 1440

GCD(45, 96) = ( 45 x 96 ) / 1440

GCD(45, 96) = 4320 / 1440

GCD(45, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 109

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

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

GCD(3, 109) = 327 / 327

GCD(3, 109) = 1

GCD of 180, 315, 96, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 567, 24, 619
• GCD of 969, 443, 66, 108
• GCD of 913, 766, 53, 891
• GCD of 345, 374, 33, 489
• GCD of 150, 980, 24, 222

1. What is the GCD of 180, 315, 96, 109?

GCD of 180, 315, 96, 109 is 1

2. Where do I get the detailed procedure to find GCD of 180, 315, 96, 109?

You can find a detailed procedure to find GCD of 180, 315, 96, 109 on our page.

3. How to find GCD of 180, 315, 96, 109 on a calculator?

You can find the GCD of 180, 315, 96, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.