GCD of 870, 989, 227, 460 Calculator

Given Input numbers are 870, 989, 227, 460

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 870, 989, 227, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 989, 227, 460 is 1.

Therefore, GCD of numbers 870, 989, 227, 460 is 1

Given Input Data is 870, 989, 227, 460

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 989 is 23 x 43

Prime Factorization of 227 is 227

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 989) = 860430

GCD(870, 989) = ( 870 x 989 ) / 860430

GCD(870, 989) = 860430 / 860430

GCD(870, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 870, 989, 227, 460 is 1

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1. What is the GCD of 870, 989, 227, 460?

GCD of 870, 989, 227, 460 is 1

2. Where do I get the detailed procedure to find GCD of 870, 989, 227, 460?

You can find a detailed procedure to find GCD of 870, 989, 227, 460 on our page.

3. How to find GCD of 870, 989, 227, 460 on a calculator?

You can find the GCD of 870, 989, 227, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.