GCD of 459, 958, 34 Calculator

Given Input numbers are 459, 958, 34

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 459, 958, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 958, 34 is 1.

Therefore, GCD of numbers 459, 958, 34 is 1

Given Input Data is 459, 958, 34

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 958 is 2 x 479

Prime Factorization of 34 is 2 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(459, 958) = 439722

GCD(459, 958) = ( 459 x 958 ) / 439722

GCD(459, 958) = 439722 / 439722

GCD(459, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 459, 958, 34 is 1

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1. What is the GCD of 459, 958, 34?

GCD of 459, 958, 34 is 1

2. Where do I get the detailed procedure to find GCD of 459, 958, 34?

You can find a detailed procedure to find GCD of 459, 958, 34 on our page.

3. How to find GCD of 459, 958, 34 on a calculator?

You can find the GCD of 459, 958, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.