GCD of 459, 249, 614, 356 Calculator

Given Input numbers are 459, 249, 614, 356

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 459, 249, 614, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 249, 614, 356 is 1.

Therefore, GCD of numbers 459, 249, 614, 356 is 1

Given Input Data is 459, 249, 614, 356

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 249 is 3 x 83

Prime Factorization of 614 is 2 x 307

Prime Factorization of 356 is 2 x 2 x 89

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(459, 249) = 38097

GCD(459, 249) = ( 459 x 249 ) / 38097

GCD(459, 249) = 114291 / 38097

GCD(459, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 614

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

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

GCD(3, 614) = 1842 / 1842

GCD(3, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 459, 249, 614, 356 is 1

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1. What is the GCD of 459, 249, 614, 356?

GCD of 459, 249, 614, 356 is 1

2. Where do I get the detailed procedure to find GCD of 459, 249, 614, 356?

You can find a detailed procedure to find GCD of 459, 249, 614, 356 on our page.

3. How to find GCD of 459, 249, 614, 356 on a calculator?

You can find the GCD of 459, 249, 614, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.