GCD of 677, 327, 83, 814 Calculator

Given Input numbers are 677, 327, 83, 814

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 83

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

1, 83

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 677, 327, 83, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 327, 83, 814 is 1.

Therefore, GCD of numbers 677, 327, 83, 814 is 1

Given Input Data is 677, 327, 83, 814

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

Prime Factorization of 677 is 677

Prime Factorization of 327 is 3 x 109

Prime Factorization of 83 is 83

Prime Factorization of 814 is 2 x 11 x 37

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(677, 327) = 221379

GCD(677, 327) = ( 677 x 327 ) / 221379

GCD(677, 327) = 221379 / 221379

GCD(677, 327) = 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 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 677, 327, 83, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 774, 10, 412
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• GCD of 689, 298, 62, 327
• GCD of 888, 294, 46, 161
• GCD of 467, 990, 80, 209

1. What is the GCD of 677, 327, 83, 814?

GCD of 677, 327, 83, 814 is 1

2. Where do I get the detailed procedure to find GCD of 677, 327, 83, 814?

You can find a detailed procedure to find GCD of 677, 327, 83, 814 on our page.

3. How to find GCD of 677, 327, 83, 814 on a calculator?

You can find the GCD of 677, 327, 83, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.