GCD of 806, 749, 291, 366 Calculator

Given Input numbers are 806, 749, 291, 366

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

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 806, 749, 291, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 749, 291, 366 is 1.

Therefore, GCD of numbers 806, 749, 291, 366 is 1

Given Input Data is 806, 749, 291, 366

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 749 is 7 x 107

Prime Factorization of 291 is 3 x 97

Prime Factorization of 366 is 2 x 3 x 61

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(806, 749) = 603694

GCD(806, 749) = ( 806 x 749 ) / 603694

GCD(806, 749) = 603694 / 603694

GCD(806, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 806, 749, 291, 366 is 1

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1. What is the GCD of 806, 749, 291, 366?

GCD of 806, 749, 291, 366 is 1

2. Where do I get the detailed procedure to find GCD of 806, 749, 291, 366?

You can find a detailed procedure to find GCD of 806, 749, 291, 366 on our page.

3. How to find GCD of 806, 749, 291, 366 on a calculator?

You can find the GCD of 806, 749, 291, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.