GCD of 909, 596, 21, 875 Calculator

Given Input numbers are 909, 596, 21, 875

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

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 909, 596, 21, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 596, 21, 875 is 1.

Therefore, GCD of numbers 909, 596, 21, 875 is 1

Given Input Data is 909, 596, 21, 875

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 21 is 3 x 7

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(909, 596) = 541764

GCD(909, 596) = ( 909 x 596 ) / 541764

GCD(909, 596) = 541764 / 541764

GCD(909, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 909, 596, 21, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 256, 80, 395
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• GCD of 154, 188, 19, 888
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• GCD of 442, 599, 31, 342

1. What is the GCD of 909, 596, 21, 875?

GCD of 909, 596, 21, 875 is 1

2. Where do I get the detailed procedure to find GCD of 909, 596, 21, 875?

You can find a detailed procedure to find GCD of 909, 596, 21, 875 on our page.

3. How to find GCD of 909, 596, 21, 875 on a calculator?

You can find the GCD of 909, 596, 21, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.