GCD of 866, 518, 675, 691 Calculator

Given Input numbers are 866, 518, 675, 691

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 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 866, 518, 675, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 518, 675, 691 is 1.

Therefore, GCD of numbers 866, 518, 675, 691 is 1

Given Input Data is 866, 518, 675, 691

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 691 is 691

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, 518) = 224294

GCD(866, 518) = ( 866 x 518 ) / 224294

GCD(866, 518) = 448588 / 224294

GCD(866, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 866, 518, 675, 691 is 1

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1. What is the GCD of 866, 518, 675, 691?

GCD of 866, 518, 675, 691 is 1

2. Where do I get the detailed procedure to find GCD of 866, 518, 675, 691?

You can find a detailed procedure to find GCD of 866, 518, 675, 691 on our page.

3. How to find GCD of 866, 518, 675, 691 on a calculator?

You can find the GCD of 866, 518, 675, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.