GCD of 690, 309, 334 Calculator

Given Input numbers are 690, 309, 334

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 690, 309, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 309, 334 is 1.

Therefore, GCD of numbers 690, 309, 334 is 1

Given Input Data is 690, 309, 334

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 309 is 3 x 103

Prime Factorization of 334 is 2 x 167

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(690, 309) = 71070

GCD(690, 309) = ( 690 x 309 ) / 71070

GCD(690, 309) = 213210 / 71070

GCD(690, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1

GCD of 690, 309, 334 is 1

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1. What is the GCD of 690, 309, 334?

GCD of 690, 309, 334 is 1

2. Where do I get the detailed procedure to find GCD of 690, 309, 334?

You can find a detailed procedure to find GCD of 690, 309, 334 on our page.

3. How to find GCD of 690, 309, 334 on a calculator?

You can find the GCD of 690, 309, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.