GCD of 50, 258, 902, 221 Calculator

Given Input numbers are 50, 258, 902, 221

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 50, 258, 902, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 258, 902, 221 is 1.

Therefore, GCD of numbers 50, 258, 902, 221 is 1

Given Input Data is 50, 258, 902, 221

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 258 is 2 x 3 x 43

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 221 is 13 x 17

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, 258) = 6450

GCD(50, 258) = ( 50 x 258 ) / 6450

GCD(50, 258) = 12900 / 6450

GCD(50, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 50, 258, 902, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 749, 123, 990
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• GCD of 57, 401, 301, 785
• GCD of 39, 658, 983, 114
• GCD of 62, 381, 644, 146

1. What is the GCD of 50, 258, 902, 221?

GCD of 50, 258, 902, 221 is 1

2. Where do I get the detailed procedure to find GCD of 50, 258, 902, 221?

You can find a detailed procedure to find GCD of 50, 258, 902, 221 on our page.

3. How to find GCD of 50, 258, 902, 221 on a calculator?

You can find the GCD of 50, 258, 902, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.