GCD of 33, 198, 778, 329 Calculator

Given Input numbers are 33, 198, 778, 329

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 33, 198, 778, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 198, 778, 329 is 1.

Therefore, GCD of numbers 33, 198, 778, 329 is 1

Given Input Data is 33, 198, 778, 329

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 778 is 2 x 389

Prime Factorization of 329 is 7 x 47

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, 198) = 198

GCD(33, 198) = ( 33 x 198 ) / 198

GCD(33, 198) = 6534 / 198

GCD(33, 198) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 778

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

LCM(33, 778) = 25674

GCD(33, 778) = ( 33 x 778 ) / 25674

GCD(33, 778) = 25674 / 25674

GCD(33, 778) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 33, 198, 778, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 674, 407, 532
• GCD of 52, 965, 749, 815
• GCD of 37, 368, 131, 887
• GCD of 45, 132, 483, 687
• GCD of 24, 614, 301, 903

1. What is the GCD of 33, 198, 778, 329?

GCD of 33, 198, 778, 329 is 1

2. Where do I get the detailed procedure to find GCD of 33, 198, 778, 329?

You can find a detailed procedure to find GCD of 33, 198, 778, 329 on our page.

3. How to find GCD of 33, 198, 778, 329 on a calculator?

You can find the GCD of 33, 198, 778, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.