GCD of 321, 678, 497, 605 Calculator

Given Input numbers are 321, 678, 497, 605

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 321, 678, 497, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 678, 497, 605 is 1.

Therefore, GCD of numbers 321, 678, 497, 605 is 1

Given Input Data is 321, 678, 497, 605

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 497 is 7 x 71

Prime Factorization of 605 is 5 x 11 x 11

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(321, 678) = 72546

GCD(321, 678) = ( 321 x 678 ) / 72546

GCD(321, 678) = 217638 / 72546

GCD(321, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 497

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

LCM(3, 497) = 1491

GCD(3, 497) = ( 3 x 497 ) / 1491

GCD(3, 497) = 1491 / 1491

GCD(3, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 321, 678, 497, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 665, 493, 645
• GCD of 629, 190, 964, 361
• GCD of 810, 509, 927, 904
• GCD of 540, 855, 243, 860
• GCD of 144, 497, 224, 550

1. What is the GCD of 321, 678, 497, 605?

GCD of 321, 678, 497, 605 is 1

2. Where do I get the detailed procedure to find GCD of 321, 678, 497, 605?

You can find a detailed procedure to find GCD of 321, 678, 497, 605 on our page.

3. How to find GCD of 321, 678, 497, 605 on a calculator?

You can find the GCD of 321, 678, 497, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.