GCD of 117, 252, 412 Calculator

Given Input numbers are 117, 252, 412

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 117, 252, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 252, 412 is 1.

Therefore, GCD of numbers 117, 252, 412 is 1

Given Input Data is 117, 252, 412

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 412 is 2 x 2 x 103

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(117, 252) = 3276

GCD(117, 252) = ( 117 x 252 ) / 3276

GCD(117, 252) = 29484 / 3276

GCD(117, 252) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 412

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

LCM(9, 412) = 3708

GCD(9, 412) = ( 9 x 412 ) / 3708

GCD(9, 412) = 3708 / 3708

GCD(9, 412) = 1

GCD of 117, 252, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 912, 835
• GCD of 277, 250, 769
• GCD of 150, 945, 741
• GCD of 211, 618, 552
• GCD of 334, 985, 298

1. What is the GCD of 117, 252, 412?

GCD of 117, 252, 412 is 1

2. Where do I get the detailed procedure to find GCD of 117, 252, 412?

You can find a detailed procedure to find GCD of 117, 252, 412 on our page.

3. How to find GCD of 117, 252, 412 on a calculator?

You can find the GCD of 117, 252, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.