GCD of 578, 250, 20, 121 Calculator

Given Input numbers are 578, 250, 20, 121

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 250

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

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 578, 250, 20, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 250, 20, 121 is 1.

Therefore, GCD of numbers 578, 250, 20, 121 is 1

Given Input Data is 578, 250, 20, 121

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

Prime Factorization of 578 is 2 x 17 x 17

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 121 is 11 x 11

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(578, 250) = 72250

GCD(578, 250) = ( 578 x 250 ) / 72250

GCD(578, 250) = 144500 / 72250

GCD(578, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 121

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

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

GCD(2, 121) = 242 / 242

GCD(2, 121) = 1

GCD of 578, 250, 20, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 342, 89, 732
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• GCD of 540, 426, 25, 211

1. What is the GCD of 578, 250, 20, 121?

GCD of 578, 250, 20, 121 is 1

2. Where do I get the detailed procedure to find GCD of 578, 250, 20, 121?

You can find a detailed procedure to find GCD of 578, 250, 20, 121 on our page.

3. How to find GCD of 578, 250, 20, 121 on a calculator?

You can find the GCD of 578, 250, 20, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.