GCD of 874, 590, 180 Calculator

Given Input numbers are 874, 590, 180

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 874, 590, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 590, 180 is 2.

Therefore, GCD of numbers 874, 590, 180 is 2

Given Input Data is 874, 590, 180

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(874, 590) = 257830

GCD(874, 590) = ( 874 x 590 ) / 257830

GCD(874, 590) = 515660 / 257830

GCD(874, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

GCD of 874, 590, 180 is 2

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1. What is the GCD of 874, 590, 180?

GCD of 874, 590, 180 is 2

2. Where do I get the detailed procedure to find GCD of 874, 590, 180?

You can find a detailed procedure to find GCD of 874, 590, 180 on our page.

3. How to find GCD of 874, 590, 180 on a calculator?

You can find the GCD of 874, 590, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.