GCD of 933, 100, 412, 220 Calculator

Given Input numbers are 933, 100, 412, 220

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

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 933, 100, 412, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 100, 412, 220 is 1.

Therefore, GCD of numbers 933, 100, 412, 220 is 1

Given Input Data is 933, 100, 412, 220

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

Prime Factorization of 933 is 3 x 311

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(933, 100) = 93300

GCD(933, 100) = ( 933 x 100 ) / 93300

GCD(933, 100) = 93300 / 93300

GCD(933, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 933, 100, 412, 220 is 1

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1. What is the GCD of 933, 100, 412, 220?

GCD of 933, 100, 412, 220 is 1

2. Where do I get the detailed procedure to find GCD of 933, 100, 412, 220?

You can find a detailed procedure to find GCD of 933, 100, 412, 220 on our page.

3. How to find GCD of 933, 100, 412, 220 on a calculator?

You can find the GCD of 933, 100, 412, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.