GCD of 323, 758, 45, 687 Calculator

Given Input numbers are 323, 758, 45, 687

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 323, 758, 45, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 758, 45, 687 is 1.

Therefore, GCD of numbers 323, 758, 45, 687 is 1

Given Input Data is 323, 758, 45, 687

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 758 is 2 x 379

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 687 is 3 x 229

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(323, 758) = 244834

GCD(323, 758) = ( 323 x 758 ) / 244834

GCD(323, 758) = 244834 / 244834

GCD(323, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 323, 758, 45, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 517, 77, 860
• GCD of 533, 634, 56, 507
• GCD of 536, 378, 52, 272
• GCD of 636, 721, 93, 443
• GCD of 266, 479, 39, 291

1. What is the GCD of 323, 758, 45, 687?

GCD of 323, 758, 45, 687 is 1

2. Where do I get the detailed procedure to find GCD of 323, 758, 45, 687?

You can find a detailed procedure to find GCD of 323, 758, 45, 687 on our page.

3. How to find GCD of 323, 758, 45, 687 on a calculator?

You can find the GCD of 323, 758, 45, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.