GCD of 33, 297, 664, 420 Calculator

Given Input numbers are 33, 297, 664, 420

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 33, 297, 664, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 297, 664, 420 is 1.

Therefore, GCD of numbers 33, 297, 664, 420 is 1

Given Input Data is 33, 297, 664, 420

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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, 297) = 297

GCD(33, 297) = ( 33 x 297 ) / 297

GCD(33, 297) = 9801 / 297

GCD(33, 297) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 664

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

LCM(33, 664) = 21912

GCD(33, 664) = ( 33 x 664 ) / 21912

GCD(33, 664) = 21912 / 21912

GCD(33, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 33, 297, 664, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 640, 139, 273
• GCD of 67, 839, 493, 593
• GCD of 48, 271, 989, 459
• GCD of 83, 498, 445, 760
• GCD of 65, 564, 709, 254

1. What is the GCD of 33, 297, 664, 420?

GCD of 33, 297, 664, 420 is 1

2. Where do I get the detailed procedure to find GCD of 33, 297, 664, 420?

You can find a detailed procedure to find GCD of 33, 297, 664, 420 on our page.

3. How to find GCD of 33, 297, 664, 420 on a calculator?

You can find the GCD of 33, 297, 664, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.