GCD of 290, 705, 228, 872 Calculator

Given Input numbers are 290, 705, 228, 872

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 290, 705, 228, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 705, 228, 872 is 1.

Therefore, GCD of numbers 290, 705, 228, 872 is 1

Given Input Data is 290, 705, 228, 872

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(290, 705) = 40890

GCD(290, 705) = ( 290 x 705 ) / 40890

GCD(290, 705) = 204450 / 40890

GCD(290, 705) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 228

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

LCM(5, 228) = 1140

GCD(5, 228) = ( 5 x 228 ) / 1140

GCD(5, 228) = 1140 / 1140

GCD(5, 228) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 290, 705, 228, 872 is 1

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1. What is the GCD of 290, 705, 228, 872?

GCD of 290, 705, 228, 872 is 1

2. Where do I get the detailed procedure to find GCD of 290, 705, 228, 872?

You can find a detailed procedure to find GCD of 290, 705, 228, 872 on our page.

3. How to find GCD of 290, 705, 228, 872 on a calculator?

You can find the GCD of 290, 705, 228, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.