GCD of 466, 342, 17, 782 Calculator

Given Input numbers are 466, 342, 17, 782

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 466, 342, 17, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 342, 17, 782 is 1.

Therefore, GCD of numbers 466, 342, 17, 782 is 1

Given Input Data is 466, 342, 17, 782

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 17 is 17

Prime Factorization of 782 is 2 x 17 x 23

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(466, 342) = 79686

GCD(466, 342) = ( 466 x 342 ) / 79686

GCD(466, 342) = 159372 / 79686

GCD(466, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 466, 342, 17, 782 is 1

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1. What is the GCD of 466, 342, 17, 782?

GCD of 466, 342, 17, 782 is 1

2. Where do I get the detailed procedure to find GCD of 466, 342, 17, 782?

You can find a detailed procedure to find GCD of 466, 342, 17, 782 on our page.

3. How to find GCD of 466, 342, 17, 782 on a calculator?

You can find the GCD of 466, 342, 17, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.