GCD of 657, 656, 686, 361 Calculator

Given Input numbers are 657, 656, 686, 361

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 657, 656, 686, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 656, 686, 361 is 1.

Therefore, GCD of numbers 657, 656, 686, 361 is 1

Given Input Data is 657, 656, 686, 361

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 361 is 19 x 19

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(657, 656) = 430992

GCD(657, 656) = ( 657 x 656 ) / 430992

GCD(657, 656) = 430992 / 430992

GCD(657, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 657, 656, 686, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 516, 647, 656
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• GCD of 445, 832, 148, 220

1. What is the GCD of 657, 656, 686, 361?

GCD of 657, 656, 686, 361 is 1

2. Where do I get the detailed procedure to find GCD of 657, 656, 686, 361?

You can find a detailed procedure to find GCD of 657, 656, 686, 361 on our page.

3. How to find GCD of 657, 656, 686, 361 on a calculator?

You can find the GCD of 657, 656, 686, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.