GCD of 677, 306, 344, 393 Calculator

Given Input numbers are 677, 306, 344, 393

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 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 677, 306, 344, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 306, 344, 393 is 1.

Therefore, GCD of numbers 677, 306, 344, 393 is 1

Given Input Data is 677, 306, 344, 393

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

Prime Factorization of 677 is 677

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 393 is 3 x 131

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, 306) = 207162

GCD(677, 306) = ( 677 x 306 ) / 207162

GCD(677, 306) = 207162 / 207162

GCD(677, 306) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 677, 306, 344, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 143, 755, 306
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• GCD of 984, 944, 824, 387

1. What is the GCD of 677, 306, 344, 393?

GCD of 677, 306, 344, 393 is 1

2. Where do I get the detailed procedure to find GCD of 677, 306, 344, 393?

You can find a detailed procedure to find GCD of 677, 306, 344, 393 on our page.

3. How to find GCD of 677, 306, 344, 393 on a calculator?

You can find the GCD of 677, 306, 344, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.