GCD of 656, 834, 217, 655 Calculator

Given Input numbers are 656, 834, 217, 655

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

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 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 656, 834, 217, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 834, 217, 655 is 1.

Therefore, GCD of numbers 656, 834, 217, 655 is 1

Given Input Data is 656, 834, 217, 655

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

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 217 is 7 x 31

Prime Factorization of 655 is 5 x 131

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(656, 834) = 273552

GCD(656, 834) = ( 656 x 834 ) / 273552

GCD(656, 834) = 547104 / 273552

GCD(656, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 656, 834, 217, 655 is 1

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1. What is the GCD of 656, 834, 217, 655?

GCD of 656, 834, 217, 655 is 1

2. Where do I get the detailed procedure to find GCD of 656, 834, 217, 655?

You can find a detailed procedure to find GCD of 656, 834, 217, 655 on our page.

3. How to find GCD of 656, 834, 217, 655 on a calculator?

You can find the GCD of 656, 834, 217, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.