GCD of 20, 122, 209, 501 Calculator

Given Input numbers are 20, 122, 209, 501

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 20, 122, 209, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 122, 209, 501 is 1.

Therefore, GCD of numbers 20, 122, 209, 501 is 1

Given Input Data is 20, 122, 209, 501

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 122 is 2 x 61

Prime Factorization of 209 is 11 x 19

Prime Factorization of 501 is 3 x 167

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(20, 122) = 1220

GCD(20, 122) = ( 20 x 122 ) / 1220

GCD(20, 122) = 2440 / 1220

GCD(20, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 20, 122, 209, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 219, 371, 277
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• GCD of 60, 620, 768, 545
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• GCD of 35, 336, 558, 260

1. What is the GCD of 20, 122, 209, 501?

GCD of 20, 122, 209, 501 is 1

2. Where do I get the detailed procedure to find GCD of 20, 122, 209, 501?

You can find a detailed procedure to find GCD of 20, 122, 209, 501 on our page.

3. How to find GCD of 20, 122, 209, 501 on a calculator?

You can find the GCD of 20, 122, 209, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.