GCD of 692, 678, 326 Calculator

Given Input numbers are 692, 678, 326

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 326

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

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 692, 678, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 678, 326 is 2.

Therefore, GCD of numbers 692, 678, 326 is 2

Given Input Data is 692, 678, 326

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 326 is 2 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(692, 678) = 234588

GCD(692, 678) = ( 692 x 678 ) / 234588

GCD(692, 678) = 469176 / 234588

GCD(692, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

GCD of 692, 678, 326 is 2

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1. What is the GCD of 692, 678, 326?

GCD of 692, 678, 326 is 2

2. Where do I get the detailed procedure to find GCD of 692, 678, 326?

You can find a detailed procedure to find GCD of 692, 678, 326 on our page.

3. How to find GCD of 692, 678, 326 on a calculator?

You can find the GCD of 692, 678, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.