GCD of 307, 806, 69, 408 Calculator

Given Input numbers are 307, 806, 69, 408

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 307, 806, 69, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 806, 69, 408 is 1.

Therefore, GCD of numbers 307, 806, 69, 408 is 1

Given Input Data is 307, 806, 69, 408

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

Prime Factorization of 307 is 307

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 69 is 3 x 23

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(307, 806) = 247442

GCD(307, 806) = ( 307 x 806 ) / 247442

GCD(307, 806) = 247442 / 247442

GCD(307, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 307, 806, 69, 408 is 1

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• GCD of 184, 370, 64, 192
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1. What is the GCD of 307, 806, 69, 408?

GCD of 307, 806, 69, 408 is 1

2. Where do I get the detailed procedure to find GCD of 307, 806, 69, 408?

You can find a detailed procedure to find GCD of 307, 806, 69, 408 on our page.

3. How to find GCD of 307, 806, 69, 408 on a calculator?

You can find the GCD of 307, 806, 69, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.