GCD of 592, 868, 290, 554 Calculator

Given Input numbers are 592, 868, 290, 554

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 592, 868, 290, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 868, 290, 554 is 2.

Therefore, GCD of numbers 592, 868, 290, 554 is 2

Given Input Data is 592, 868, 290, 554

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 554 is 2 x 277

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(592, 868) = 128464

GCD(592, 868) = ( 592 x 868 ) / 128464

GCD(592, 868) = 513856 / 128464

GCD(592, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 290

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

LCM(4, 290) = 580

GCD(4, 290) = ( 4 x 290 ) / 580

GCD(4, 290) = 1160 / 580

GCD(4, 290) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 554

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

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

GCD(2, 554) = 1108 / 554

GCD(2, 554) = 2

GCD of 592, 868, 290, 554 is 2

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1. What is the GCD of 592, 868, 290, 554?

GCD of 592, 868, 290, 554 is 2

2. Where do I get the detailed procedure to find GCD of 592, 868, 290, 554?

You can find a detailed procedure to find GCD of 592, 868, 290, 554 on our page.

3. How to find GCD of 592, 868, 290, 554 on a calculator?

You can find the GCD of 592, 868, 290, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.