GCD of 900, 372, 758, 622 Calculator

Given Input numbers are 900, 372, 758, 622

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 900, 372, 758, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 372, 758, 622 is 2.

Therefore, GCD of numbers 900, 372, 758, 622 is 2

Given Input Data is 900, 372, 758, 622

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 758 is 2 x 379

Prime Factorization of 622 is 2 x 311

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 372) = 27900

GCD(900, 372) = ( 900 x 372 ) / 27900

GCD(900, 372) = 334800 / 27900

GCD(900, 372) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 758

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

LCM(12, 758) = 4548

GCD(12, 758) = ( 12 x 758 ) / 4548

GCD(12, 758) = 9096 / 4548

GCD(12, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

GCD of 900, 372, 758, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 765, 438, 990
• GCD of 407, 256, 610, 876
• GCD of 843, 670, 277, 448
• GCD of 947, 916, 600, 737
• GCD of 495, 892, 722, 258

1. What is the GCD of 900, 372, 758, 622?

GCD of 900, 372, 758, 622 is 2

2. Where do I get the detailed procedure to find GCD of 900, 372, 758, 622?

You can find a detailed procedure to find GCD of 900, 372, 758, 622 on our page.

3. How to find GCD of 900, 372, 758, 622 on a calculator?

You can find the GCD of 900, 372, 758, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.