GCD of 558, 165, 898, 250 Calculator

Given Input numbers are 558, 165, 898, 250

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 558, 165, 898, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 165, 898, 250 is 1.

Therefore, GCD of numbers 558, 165, 898, 250 is 1

Given Input Data is 558, 165, 898, 250

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 898 is 2 x 449

Prime Factorization of 250 is 2 x 5 x 5 x 5

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(558, 165) = 30690

GCD(558, 165) = ( 558 x 165 ) / 30690

GCD(558, 165) = 92070 / 30690

GCD(558, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 898

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

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

GCD(3, 898) = 2694 / 2694

GCD(3, 898) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 558, 165, 898, 250 is 1

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1. What is the GCD of 558, 165, 898, 250?

GCD of 558, 165, 898, 250 is 1

2. Where do I get the detailed procedure to find GCD of 558, 165, 898, 250?

You can find a detailed procedure to find GCD of 558, 165, 898, 250 on our page.

3. How to find GCD of 558, 165, 898, 250 on a calculator?

You can find the GCD of 558, 165, 898, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.