GCD of 909, 322, 540, 820 Calculator

Given Input numbers are 909, 322, 540, 820

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 909, 322, 540, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 322, 540, 820 is 1.

Therefore, GCD of numbers 909, 322, 540, 820 is 1

Given Input Data is 909, 322, 540, 820

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 322 is 2 x 7 x 23

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 820 is 2 x 2 x 5 x 41

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, 322) = 292698

GCD(909, 322) = ( 909 x 322 ) / 292698

GCD(909, 322) = 292698 / 292698

GCD(909, 322) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 909, 322, 540, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 566, 855, 522
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• GCD of 540, 386, 740, 577
• GCD of 978, 882, 373, 853

1. What is the GCD of 909, 322, 540, 820?

GCD of 909, 322, 540, 820 is 1

2. Where do I get the detailed procedure to find GCD of 909, 322, 540, 820?

You can find a detailed procedure to find GCD of 909, 322, 540, 820 on our page.

3. How to find GCD of 909, 322, 540, 820 on a calculator?

You can find the GCD of 909, 322, 540, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.