GCD of 18, 870, 251, 853 Calculator

Given Input numbers are 18, 870, 251, 853

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 18, 870, 251, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 870, 251, 853 is 1.

Therefore, GCD of numbers 18, 870, 251, 853 is 1

Given Input Data is 18, 870, 251, 853

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 251 is 251

Prime Factorization of 853 is 853

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(18, 870) = 2610

GCD(18, 870) = ( 18 x 870 ) / 2610

GCD(18, 870) = 15660 / 2610

GCD(18, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 251

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

LCM(6, 251) = 1506

GCD(6, 251) = ( 6 x 251 ) / 1506

GCD(6, 251) = 1506 / 1506

GCD(6, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 18, 870, 251, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 414, 737, 195
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• GCD of 14, 586, 797, 887
• GCD of 86, 428, 464, 467

1. What is the GCD of 18, 870, 251, 853?

GCD of 18, 870, 251, 853 is 1

2. Where do I get the detailed procedure to find GCD of 18, 870, 251, 853?

You can find a detailed procedure to find GCD of 18, 870, 251, 853 on our page.

3. How to find GCD of 18, 870, 251, 853 on a calculator?

You can find the GCD of 18, 870, 251, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.