GCD of 125, 909, 222, 408 Calculator

Given Input numbers are 125, 909, 222, 408

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 125, 909, 222, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 909, 222, 408 is 1.

Therefore, GCD of numbers 125, 909, 222, 408 is 1

Given Input Data is 125, 909, 222, 408

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(125, 909) = 113625

GCD(125, 909) = ( 125 x 909 ) / 113625

GCD(125, 909) = 113625 / 113625

GCD(125, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 125, 909, 222, 408 is 1

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1. What is the GCD of 125, 909, 222, 408?

GCD of 125, 909, 222, 408 is 1

2. Where do I get the detailed procedure to find GCD of 125, 909, 222, 408?

You can find a detailed procedure to find GCD of 125, 909, 222, 408 on our page.

3. How to find GCD of 125, 909, 222, 408 on a calculator?

You can find the GCD of 125, 909, 222, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.