GCD of 866, 849, 11, 642 Calculator

Given Input numbers are 866, 849, 11, 642

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 866, 849, 11, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 849, 11, 642 is 1.

Therefore, GCD of numbers 866, 849, 11, 642 is 1

Given Input Data is 866, 849, 11, 642

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 849 is 3 x 283

Prime Factorization of 11 is 11

Prime Factorization of 642 is 2 x 3 x 107

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(866, 849) = 735234

GCD(866, 849) = ( 866 x 849 ) / 735234

GCD(866, 849) = 735234 / 735234

GCD(866, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 866, 849, 11, 642 is 1

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1. What is the GCD of 866, 849, 11, 642?

GCD of 866, 849, 11, 642 is 1

2. Where do I get the detailed procedure to find GCD of 866, 849, 11, 642?

You can find a detailed procedure to find GCD of 866, 849, 11, 642 on our page.

3. How to find GCD of 866, 849, 11, 642 on a calculator?

You can find the GCD of 866, 849, 11, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.