GCD of 33, 330, 507, 634 Calculator

Given Input numbers are 33, 330, 507, 634

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 33, 330, 507, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 330, 507, 634 is 1.

Therefore, GCD of numbers 33, 330, 507, 634 is 1

Given Input Data is 33, 330, 507, 634

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 634 is 2 x 317

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, 330) = 330

GCD(33, 330) = ( 33 x 330 ) / 330

GCD(33, 330) = 10890 / 330

GCD(33, 330) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 507

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

LCM(33, 507) = 5577

GCD(33, 507) = ( 33 x 507 ) / 5577

GCD(33, 507) = 16731 / 5577

GCD(33, 507) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 634

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

LCM(3, 634) = 1902

GCD(3, 634) = ( 3 x 634 ) / 1902

GCD(3, 634) = 1902 / 1902

GCD(3, 634) = 1

GCD of 33, 330, 507, 634 is 1

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• GCD of 58, 106, 972, 937
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• GCD of 87, 476, 291, 591

1. What is the GCD of 33, 330, 507, 634?

GCD of 33, 330, 507, 634 is 1

2. Where do I get the detailed procedure to find GCD of 33, 330, 507, 634?

You can find a detailed procedure to find GCD of 33, 330, 507, 634 on our page.

3. How to find GCD of 33, 330, 507, 634 on a calculator?

You can find the GCD of 33, 330, 507, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.