GCD of 900, 124, 905, 669 Calculator

Given Input numbers are 900, 124, 905, 669

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 900, 124, 905, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 124, 905, 669 is 1.

Therefore, GCD of numbers 900, 124, 905, 669 is 1

Given Input Data is 900, 124, 905, 669

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 905 is 5 x 181

Prime Factorization of 669 is 3 x 223

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(900, 124) = 27900

GCD(900, 124) = ( 900 x 124 ) / 27900

GCD(900, 124) = 111600 / 27900

GCD(900, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 905

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

LCM(4, 905) = 3620

GCD(4, 905) = ( 4 x 905 ) / 3620

GCD(4, 905) = 3620 / 3620

GCD(4, 905) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 900, 124, 905, 669 is 1

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1. What is the GCD of 900, 124, 905, 669?

GCD of 900, 124, 905, 669 is 1

2. Where do I get the detailed procedure to find GCD of 900, 124, 905, 669?

You can find a detailed procedure to find GCD of 900, 124, 905, 669 on our page.

3. How to find GCD of 900, 124, 905, 669 on a calculator?

You can find the GCD of 900, 124, 905, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.