GCD of 656, 301, 529, 342 Calculator

Given Input numbers are 656, 301, 529, 342

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 656, 301, 529, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 301, 529, 342 is 1.

Therefore, GCD of numbers 656, 301, 529, 342 is 1

Given Input Data is 656, 301, 529, 342

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 301 is 7 x 43

Prime Factorization of 529 is 23 x 23

Prime Factorization of 342 is 2 x 3 x 3 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(656, 301) = 197456

GCD(656, 301) = ( 656 x 301 ) / 197456

GCD(656, 301) = 197456 / 197456

GCD(656, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 656, 301, 529, 342 is 1

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• GCD of 856, 254, 117, 501
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1. What is the GCD of 656, 301, 529, 342?

GCD of 656, 301, 529, 342 is 1

2. Where do I get the detailed procedure to find GCD of 656, 301, 529, 342?

You can find a detailed procedure to find GCD of 656, 301, 529, 342 on our page.

3. How to find GCD of 656, 301, 529, 342 on a calculator?

You can find the GCD of 656, 301, 529, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.