GCD of 326, 670, 42, 459 Calculator

Given Input numbers are 326, 670, 42, 459

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 459

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

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

Greatest Common Divisior

We found the divisors of 326, 670, 42, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 670, 42, 459 is 1.

Therefore, GCD of numbers 326, 670, 42, 459 is 1

Given Input Data is 326, 670, 42, 459

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 459 is 3 x 3 x 3 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(326, 670) = 109210

GCD(326, 670) = ( 326 x 670 ) / 109210

GCD(326, 670) = 218420 / 109210

GCD(326, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 326, 670, 42, 459 is 1

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• GCD of 660, 884, 27, 228
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1. What is the GCD of 326, 670, 42, 459?

GCD of 326, 670, 42, 459 is 1

2. Where do I get the detailed procedure to find GCD of 326, 670, 42, 459?

You can find a detailed procedure to find GCD of 326, 670, 42, 459 on our page.

3. How to find GCD of 326, 670, 42, 459 on a calculator?

You can find the GCD of 326, 670, 42, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.