GCD of 684, 706, 297, 659 Calculator

Given Input numbers are 684, 706, 297, 659

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 684, 706, 297, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 706, 297, 659 is 1.

Therefore, GCD of numbers 684, 706, 297, 659 is 1

Given Input Data is 684, 706, 297, 659

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 706 is 2 x 353

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 659 is 659

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(684, 706) = 241452

GCD(684, 706) = ( 684 x 706 ) / 241452

GCD(684, 706) = 482904 / 241452

GCD(684, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 684, 706, 297, 659 is 1

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1. What is the GCD of 684, 706, 297, 659?

GCD of 684, 706, 297, 659 is 1

2. Where do I get the detailed procedure to find GCD of 684, 706, 297, 659?

You can find a detailed procedure to find GCD of 684, 706, 297, 659 on our page.

3. How to find GCD of 684, 706, 297, 659 on a calculator?

You can find the GCD of 684, 706, 297, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.