GCD of 605, 400, 809, 892 Calculator

Given Input numbers are 605, 400, 809, 892

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 605, 400, 809, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 400, 809, 892 is 1.

Therefore, GCD of numbers 605, 400, 809, 892 is 1

Given Input Data is 605, 400, 809, 892

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 809 is 809

Prime Factorization of 892 is 2 x 2 x 223

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(605, 400) = 48400

GCD(605, 400) = ( 605 x 400 ) / 48400

GCD(605, 400) = 242000 / 48400

GCD(605, 400) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 809

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

LCM(5, 809) = 4045

GCD(5, 809) = ( 5 x 809 ) / 4045

GCD(5, 809) = 4045 / 4045

GCD(5, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 605, 400, 809, 892 is 1

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1. What is the GCD of 605, 400, 809, 892?

GCD of 605, 400, 809, 892 is 1

2. Where do I get the detailed procedure to find GCD of 605, 400, 809, 892?

You can find a detailed procedure to find GCD of 605, 400, 809, 892 on our page.

3. How to find GCD of 605, 400, 809, 892 on a calculator?

You can find the GCD of 605, 400, 809, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.