GCD of 34, 468, 455, 915 Calculator

Given Input numbers are 34, 468, 455, 915

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 34, 468, 455, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 468, 455, 915 is 1.

Therefore, GCD of numbers 34, 468, 455, 915 is 1

Given Input Data is 34, 468, 455, 915

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 915 is 3 x 5 x 61

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(34, 468) = 7956

GCD(34, 468) = ( 34 x 468 ) / 7956

GCD(34, 468) = 15912 / 7956

GCD(34, 468) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 455

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

LCM(2, 455) = 910

GCD(2, 455) = ( 2 x 455 ) / 910

GCD(2, 455) = 910 / 910

GCD(2, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 34, 468, 455, 915 is 1

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1. What is the GCD of 34, 468, 455, 915?

GCD of 34, 468, 455, 915 is 1

2. Where do I get the detailed procedure to find GCD of 34, 468, 455, 915?

You can find a detailed procedure to find GCD of 34, 468, 455, 915 on our page.

3. How to find GCD of 34, 468, 455, 915 on a calculator?

You can find the GCD of 34, 468, 455, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.