GCD of 678, 270, 293, 806 Calculator

Given Input numbers are 678, 270, 293, 806

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 806

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

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

Greatest Common Divisior

We found the divisors of 678, 270, 293, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 270, 293, 806 is 1.

Therefore, GCD of numbers 678, 270, 293, 806 is 1

Given Input Data is 678, 270, 293, 806

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 293 is 293

Prime Factorization of 806 is 2 x 13 x 31

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(678, 270) = 30510

GCD(678, 270) = ( 678 x 270 ) / 30510

GCD(678, 270) = 183060 / 30510

GCD(678, 270) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 293

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

LCM(6, 293) = 1758

GCD(6, 293) = ( 6 x 293 ) / 1758

GCD(6, 293) = 1758 / 1758

GCD(6, 293) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 678, 270, 293, 806 is 1

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• GCD of 857, 135, 617, 826
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1. What is the GCD of 678, 270, 293, 806?

GCD of 678, 270, 293, 806 is 1

2. Where do I get the detailed procedure to find GCD of 678, 270, 293, 806?

You can find a detailed procedure to find GCD of 678, 270, 293, 806 on our page.

3. How to find GCD of 678, 270, 293, 806 on a calculator?

You can find the GCD of 678, 270, 293, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.