GCD of 802, 909, 559, 492 Calculator

Given Input numbers are 802, 909, 559, 492

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 802, 909, 559, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 909, 559, 492 is 1.

Therefore, GCD of numbers 802, 909, 559, 492 is 1

Given Input Data is 802, 909, 559, 492

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 559 is 13 x 43

Prime Factorization of 492 is 2 x 2 x 3 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(802, 909) = 729018

GCD(802, 909) = ( 802 x 909 ) / 729018

GCD(802, 909) = 729018 / 729018

GCD(802, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 802, 909, 559, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 500, 526, 539
• GCD of 478, 834, 598, 813
• GCD of 514, 121, 495, 658
• GCD of 112, 927, 688, 612
• GCD of 610, 931, 435, 288

1. What is the GCD of 802, 909, 559, 492?

GCD of 802, 909, 559, 492 is 1

2. Where do I get the detailed procedure to find GCD of 802, 909, 559, 492?

You can find a detailed procedure to find GCD of 802, 909, 559, 492 on our page.

3. How to find GCD of 802, 909, 559, 492 on a calculator?

You can find the GCD of 802, 909, 559, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.