GCD of 323, 314, 893, 755 Calculator

Given Input numbers are 323, 314, 893, 755

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 323, 314, 893, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 314, 893, 755 is 1.

Therefore, GCD of numbers 323, 314, 893, 755 is 1

Given Input Data is 323, 314, 893, 755

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 314 is 2 x 157

Prime Factorization of 893 is 19 x 47

Prime Factorization of 755 is 5 x 151

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, 314) = 101422

GCD(323, 314) = ( 323 x 314 ) / 101422

GCD(323, 314) = 101422 / 101422

GCD(323, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 323, 314, 893, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 389, 463, 422
• GCD of 269, 596, 238, 346
• GCD of 966, 583, 689, 736
• GCD of 993, 612, 141, 707
• GCD of 227, 686, 383, 120

1. What is the GCD of 323, 314, 893, 755?

GCD of 323, 314, 893, 755 is 1

2. Where do I get the detailed procedure to find GCD of 323, 314, 893, 755?

You can find a detailed procedure to find GCD of 323, 314, 893, 755 on our page.

3. How to find GCD of 323, 314, 893, 755 on a calculator?

You can find the GCD of 323, 314, 893, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.