GCD of 289, 870, 730 Calculator

Given Input numbers are 289, 870, 730

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 289, 870, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 870, 730 is 1.

Therefore, GCD of numbers 289, 870, 730 is 1

Given Input Data is 289, 870, 730

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

Prime Factorization of 289 is 17 x 17

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

Prime Factorization of 730 is 2 x 5 x 73

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(289, 870) = 251430

GCD(289, 870) = ( 289 x 870 ) / 251430

GCD(289, 870) = 251430 / 251430

GCD(289, 870) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 289, 870, 730 is 1

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1. What is the GCD of 289, 870, 730?

GCD of 289, 870, 730 is 1

2. Where do I get the detailed procedure to find GCD of 289, 870, 730?

You can find a detailed procedure to find GCD of 289, 870, 730 on our page.

3. How to find GCD of 289, 870, 730 on a calculator?

You can find the GCD of 289, 870, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.