GCD of 827, 514, 83, 323 Calculator

Given Input numbers are 827, 514, 83, 323

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 323

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

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 827, 514, 83, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 514, 83, 323 is 1.

Therefore, GCD of numbers 827, 514, 83, 323 is 1

Given Input Data is 827, 514, 83, 323

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

Prime Factorization of 827 is 827

Prime Factorization of 514 is 2 x 257

Prime Factorization of 83 is 83

Prime Factorization of 323 is 17 x 19

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(827, 514) = 425078

GCD(827, 514) = ( 827 x 514 ) / 425078

GCD(827, 514) = 425078 / 425078

GCD(827, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 827, 514, 83, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 203, 28, 260
• GCD of 157, 577, 19, 989
• GCD of 500, 654, 73, 686
• GCD of 163, 123, 86, 986
• GCD of 712, 364, 35, 364

1. What is the GCD of 827, 514, 83, 323?

GCD of 827, 514, 83, 323 is 1

2. Where do I get the detailed procedure to find GCD of 827, 514, 83, 323?

You can find a detailed procedure to find GCD of 827, 514, 83, 323 on our page.

3. How to find GCD of 827, 514, 83, 323 on a calculator?

You can find the GCD of 827, 514, 83, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.