GCD of 100, 330, 401, 596 Calculator

Given Input numbers are 100, 330, 401, 596

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 100, 330, 401, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 330, 401, 596 is 1.

Therefore, GCD of numbers 100, 330, 401, 596 is 1

Given Input Data is 100, 330, 401, 596

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Prime Factorization of 401 is 401

Prime Factorization of 596 is 2 x 2 x 149

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(100, 330) = 3300

GCD(100, 330) = ( 100 x 330 ) / 3300

GCD(100, 330) = 33000 / 3300

GCD(100, 330) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 401

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

LCM(10, 401) = 4010

GCD(10, 401) = ( 10 x 401 ) / 4010

GCD(10, 401) = 4010 / 4010

GCD(10, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 100, 330, 401, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 534, 225, 841
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• GCD of 825, 616, 984, 603
• GCD of 223, 950, 461, 465
• GCD of 407, 623, 614, 303

1. What is the GCD of 100, 330, 401, 596?

GCD of 100, 330, 401, 596 is 1

2. Where do I get the detailed procedure to find GCD of 100, 330, 401, 596?

You can find a detailed procedure to find GCD of 100, 330, 401, 596 on our page.

3. How to find GCD of 100, 330, 401, 596 on a calculator?

You can find the GCD of 100, 330, 401, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.