GCD of 621, 900, 75, 723 Calculator

Given Input numbers are 621, 900, 75, 723

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

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 621, 900, 75, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 900, 75, 723 is 3.

Therefore, GCD of numbers 621, 900, 75, 723 is 3

Given Input Data is 621, 900, 75, 723

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

Prime Factorization of 621 is 3 x 3 x 3 x 23

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 723 is 3 x 241

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(621, 900) = 62100

GCD(621, 900) = ( 621 x 900 ) / 62100

GCD(621, 900) = 558900 / 62100

GCD(621, 900) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 75

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

LCM(9, 75) = 225

GCD(9, 75) = ( 9 x 75 ) / 225

GCD(9, 75) = 675 / 225

GCD(9, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 723

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

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

GCD(3, 723) = 2169 / 723

GCD(3, 723) = 3

GCD of 621, 900, 75, 723 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 257, 53, 888
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• GCD of 182, 863, 29, 454
• GCD of 459, 888, 38, 488
• GCD of 428, 474, 72, 896

1. What is the GCD of 621, 900, 75, 723?

GCD of 621, 900, 75, 723 is 3

2. Where do I get the detailed procedure to find GCD of 621, 900, 75, 723?

You can find a detailed procedure to find GCD of 621, 900, 75, 723 on our page.

3. How to find GCD of 621, 900, 75, 723 on a calculator?

You can find the GCD of 621, 900, 75, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.