GCD of 852, 200, 505, 571 Calculator

Given Input numbers are 852, 200, 505, 571

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 852, 200, 505, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 200, 505, 571 is 1.

Therefore, GCD of numbers 852, 200, 505, 571 is 1

Given Input Data is 852, 200, 505, 571

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 505 is 5 x 101

Prime Factorization of 571 is 571

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(852, 200) = 42600

GCD(852, 200) = ( 852 x 200 ) / 42600

GCD(852, 200) = 170400 / 42600

GCD(852, 200) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 505

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

LCM(4, 505) = 2020

GCD(4, 505) = ( 4 x 505 ) / 2020

GCD(4, 505) = 2020 / 2020

GCD(4, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 852, 200, 505, 571 is 1

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1. What is the GCD of 852, 200, 505, 571?

GCD of 852, 200, 505, 571 is 1

2. Where do I get the detailed procedure to find GCD of 852, 200, 505, 571?

You can find a detailed procedure to find GCD of 852, 200, 505, 571 on our page.

3. How to find GCD of 852, 200, 505, 571 on a calculator?

You can find the GCD of 852, 200, 505, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.