GCD of 688, 612, 66, 609 Calculator

Given Input numbers are 688, 612, 66, 609

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 688, 612, 66, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 612, 66, 609 is 1.

Therefore, GCD of numbers 688, 612, 66, 609 is 1

Given Input Data is 688, 612, 66, 609

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 609 is 3 x 7 x 29

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(688, 612) = 105264

GCD(688, 612) = ( 688 x 612 ) / 105264

GCD(688, 612) = 421056 / 105264

GCD(688, 612) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 66

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

LCM(4, 66) = 132

GCD(4, 66) = ( 4 x 66 ) / 132

GCD(4, 66) = 264 / 132

GCD(4, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

GCD of 688, 612, 66, 609 is 1

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• GCD of 976, 544, 74, 656
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1. What is the GCD of 688, 612, 66, 609?

GCD of 688, 612, 66, 609 is 1

2. Where do I get the detailed procedure to find GCD of 688, 612, 66, 609?

You can find a detailed procedure to find GCD of 688, 612, 66, 609 on our page.

3. How to find GCD of 688, 612, 66, 609 on a calculator?

You can find the GCD of 688, 612, 66, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.