GCD of 126, 168, 230, 519 Calculator

Given Input numbers are 126, 168, 230, 519

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 126, 168, 230, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 168, 230, 519 is 1.

Therefore, GCD of numbers 126, 168, 230, 519 is 1

Given Input Data is 126, 168, 230, 519

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 519 is 3 x 173

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(126, 168) = 504

GCD(126, 168) = ( 126 x 168 ) / 504

GCD(126, 168) = 21168 / 504

GCD(126, 168) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 230

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

LCM(42, 230) = 4830

GCD(42, 230) = ( 42 x 230 ) / 4830

GCD(42, 230) = 9660 / 4830

GCD(42, 230) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

GCD of 126, 168, 230, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 634, 625, 321
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• GCD of 582, 338, 205, 741
• GCD of 395, 953, 825, 248

1. What is the GCD of 126, 168, 230, 519?

GCD of 126, 168, 230, 519 is 1

2. Where do I get the detailed procedure to find GCD of 126, 168, 230, 519?

You can find a detailed procedure to find GCD of 126, 168, 230, 519 on our page.

3. How to find GCD of 126, 168, 230, 519 on a calculator?

You can find the GCD of 126, 168, 230, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.