GCD of 566, 424, 66, 694 Calculator

Given Input numbers are 566, 424, 66, 694

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 566, 424, 66, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 424, 66, 694 is 2.

Therefore, GCD of numbers 566, 424, 66, 694 is 2

Given Input Data is 566, 424, 66, 694

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 694 is 2 x 347

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(566, 424) = 119992

GCD(566, 424) = ( 566 x 424 ) / 119992

GCD(566, 424) = 239984 / 119992

GCD(566, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 566, 424, 66, 694 is 2

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1. What is the GCD of 566, 424, 66, 694?

GCD of 566, 424, 66, 694 is 2

2. Where do I get the detailed procedure to find GCD of 566, 424, 66, 694?

You can find a detailed procedure to find GCD of 566, 424, 66, 694 on our page.

3. How to find GCD of 566, 424, 66, 694 on a calculator?

You can find the GCD of 566, 424, 66, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.