GCD of 900, 645, 40, 909 Calculator

Given Input numbers are 900, 645, 40, 909

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 909

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

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 900, 645, 40, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 645, 40, 909 is 1.

Therefore, GCD of numbers 900, 645, 40, 909 is 1

Given Input Data is 900, 645, 40, 909

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 645 is 3 x 5 x 43

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 909 is 3 x 3 x 101

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, 645) = 38700

GCD(900, 645) = ( 900 x 645 ) / 38700

GCD(900, 645) = 580500 / 38700

GCD(900, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 40

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

LCM(15, 40) = 120

GCD(15, 40) = ( 15 x 40 ) / 120

GCD(15, 40) = 600 / 120

GCD(15, 40) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 909

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

LCM(5, 909) = 4545

GCD(5, 909) = ( 5 x 909 ) / 4545

GCD(5, 909) = 4545 / 4545

GCD(5, 909) = 1

GCD of 900, 645, 40, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 829, 21, 890
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• GCD of 351, 103, 23, 169
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• GCD of 842, 472, 73, 332

1. What is the GCD of 900, 645, 40, 909?

GCD of 900, 645, 40, 909 is 1

2. Where do I get the detailed procedure to find GCD of 900, 645, 40, 909?

You can find a detailed procedure to find GCD of 900, 645, 40, 909 on our page.

3. How to find GCD of 900, 645, 40, 909 on a calculator?

You can find the GCD of 900, 645, 40, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.