GCD of 687, 971, 306, 323 Calculator

Given Input numbers are 687, 971, 306, 323

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

Divisors of 687

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

1, 3, 229, 687

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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 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 687, 971, 306, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 971, 306, 323 is 1.

Therefore, GCD of numbers 687, 971, 306, 323 is 1

Given Input Data is 687, 971, 306, 323

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 971 is 971

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

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(687, 971) = 667077

GCD(687, 971) = ( 687 x 971 ) / 667077

GCD(687, 971) = 667077 / 667077

GCD(687, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 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 687, 971, 306, 323 is 1

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1. What is the GCD of 687, 971, 306, 323?

GCD of 687, 971, 306, 323 is 1

2. Where do I get the detailed procedure to find GCD of 687, 971, 306, 323?

You can find a detailed procedure to find GCD of 687, 971, 306, 323 on our page.

3. How to find GCD of 687, 971, 306, 323 on a calculator?

You can find the GCD of 687, 971, 306, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.