GCD of 214, 456, 509, 361 Calculator

Given Input numbers are 214, 456, 509, 361

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 214, 456, 509, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 456, 509, 361 is 1.

Therefore, GCD of numbers 214, 456, 509, 361 is 1

Given Input Data is 214, 456, 509, 361

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 509 is 509

Prime Factorization of 361 is 19 x 19

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(214, 456) = 48792

GCD(214, 456) = ( 214 x 456 ) / 48792

GCD(214, 456) = 97584 / 48792

GCD(214, 456) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 214, 456, 509, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 448, 394, 995
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• GCD of 804, 186, 746, 741

1. What is the GCD of 214, 456, 509, 361?

GCD of 214, 456, 509, 361 is 1

2. Where do I get the detailed procedure to find GCD of 214, 456, 509, 361?

You can find a detailed procedure to find GCD of 214, 456, 509, 361 on our page.

3. How to find GCD of 214, 456, 509, 361 on a calculator?

You can find the GCD of 214, 456, 509, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.