GCD of 50, 122, 269, 558 Calculator

Given Input numbers are 50, 122, 269, 558

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 122

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

1, 2, 61, 122

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

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

Greatest Common Divisior

We found the divisors of 50, 122, 269, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 122, 269, 558 is 1.

Therefore, GCD of numbers 50, 122, 269, 558 is 1

Given Input Data is 50, 122, 269, 558

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 122 is 2 x 61

Prime Factorization of 269 is 269

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

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(50, 122) = 3050

GCD(50, 122) = ( 50 x 122 ) / 3050

GCD(50, 122) = 6100 / 3050

GCD(50, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 50, 122, 269, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 453, 221, 187
• GCD of 30, 423, 865, 261
• GCD of 46, 878, 241, 381
• GCD of 92, 165, 348, 746
• GCD of 56, 300, 852, 532

1. What is the GCD of 50, 122, 269, 558?

GCD of 50, 122, 269, 558 is 1

2. Where do I get the detailed procedure to find GCD of 50, 122, 269, 558?

You can find a detailed procedure to find GCD of 50, 122, 269, 558 on our page.

3. How to find GCD of 50, 122, 269, 558 on a calculator?

You can find the GCD of 50, 122, 269, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.