GCD of 870, 843, 225, 580 Calculator

Given Input numbers are 870, 843, 225, 580

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 870, 843, 225, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 843, 225, 580 is 1.

Therefore, GCD of numbers 870, 843, 225, 580 is 1

Given Input Data is 870, 843, 225, 580

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 843 is 3 x 281

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(870, 843) = 244470

GCD(870, 843) = ( 870 x 843 ) / 244470

GCD(870, 843) = 733410 / 244470

GCD(870, 843) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 225

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

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

GCD(3, 225) = 675 / 225

GCD(3, 225) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 580

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

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

GCD(3, 580) = 1740 / 1740

GCD(3, 580) = 1

GCD of 870, 843, 225, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 330, 169, 407
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• GCD of 377, 425, 168, 579
• GCD of 451, 353, 964, 828

1. What is the GCD of 870, 843, 225, 580?

GCD of 870, 843, 225, 580 is 1

2. Where do I get the detailed procedure to find GCD of 870, 843, 225, 580?

You can find a detailed procedure to find GCD of 870, 843, 225, 580 on our page.

3. How to find GCD of 870, 843, 225, 580 on a calculator?

You can find the GCD of 870, 843, 225, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.