GCD of 369, 680, 309, 668 Calculator

Given Input numbers are 369, 680, 309, 668

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 309

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

1, 3, 103, 309

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 369, 680, 309, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 680, 309, 668 is 1.

Therefore, GCD of numbers 369, 680, 309, 668 is 1

Given Input Data is 369, 680, 309, 668

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 309 is 3 x 103

Prime Factorization of 668 is 2 x 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(369, 680) = 250920

GCD(369, 680) = ( 369 x 680 ) / 250920

GCD(369, 680) = 250920 / 250920

GCD(369, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

GCD of 369, 680, 309, 668 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 305, 613, 507
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• GCD of 259, 596, 572, 992

1. What is the GCD of 369, 680, 309, 668?

GCD of 369, 680, 309, 668 is 1

2. Where do I get the detailed procedure to find GCD of 369, 680, 309, 668?

You can find a detailed procedure to find GCD of 369, 680, 309, 668 on our page.

3. How to find GCD of 369, 680, 309, 668 on a calculator?

You can find the GCD of 369, 680, 309, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.