GCD of 380, 872, 551, 258 Calculator

Given Input numbers are 380, 872, 551, 258

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 380, 872, 551, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 872, 551, 258 is 1.

Therefore, GCD of numbers 380, 872, 551, 258 is 1

Given Input Data is 380, 872, 551, 258

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 551 is 19 x 29

Prime Factorization of 258 is 2 x 3 x 43

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(380, 872) = 82840

GCD(380, 872) = ( 380 x 872 ) / 82840

GCD(380, 872) = 331360 / 82840

GCD(380, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 551

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

LCM(4, 551) = 2204

GCD(4, 551) = ( 4 x 551 ) / 2204

GCD(4, 551) = 2204 / 2204

GCD(4, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 380, 872, 551, 258 is 1

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1. What is the GCD of 380, 872, 551, 258?

GCD of 380, 872, 551, 258 is 1

2. Where do I get the detailed procedure to find GCD of 380, 872, 551, 258?

You can find a detailed procedure to find GCD of 380, 872, 551, 258 on our page.

3. How to find GCD of 380, 872, 551, 258 on a calculator?

You can find the GCD of 380, 872, 551, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.