GCD of 33, 316, 319, 129 Calculator

Given Input numbers are 33, 316, 319, 129

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 33, 316, 319, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 316, 319, 129 is 1.

Therefore, GCD of numbers 33, 316, 319, 129 is 1

Given Input Data is 33, 316, 319, 129

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 319 is 11 x 29

Prime Factorization of 129 is 3 x 43

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(33, 316) = 10428

GCD(33, 316) = ( 33 x 316 ) / 10428

GCD(33, 316) = 10428 / 10428

GCD(33, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 33, 316, 319, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 181, 848, 813
• GCD of 78, 387, 329, 589
• GCD of 20, 909, 476, 766
• GCD of 42, 511, 269, 444
• GCD of 46, 475, 979, 364

1. What is the GCD of 33, 316, 319, 129?

GCD of 33, 316, 319, 129 is 1

2. Where do I get the detailed procedure to find GCD of 33, 316, 319, 129?

You can find a detailed procedure to find GCD of 33, 316, 319, 129 on our page.

3. How to find GCD of 33, 316, 319, 129 on a calculator?

You can find the GCD of 33, 316, 319, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.