GCD of 302, 656, 20, 301 Calculator

Given Input numbers are 302, 656, 20, 301

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 301

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

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 302, 656, 20, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 656, 20, 301 is 1.

Therefore, GCD of numbers 302, 656, 20, 301 is 1

Given Input Data is 302, 656, 20, 301

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

Prime Factorization of 302 is 2 x 151

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 301 is 7 x 43

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(302, 656) = 99056

GCD(302, 656) = ( 302 x 656 ) / 99056

GCD(302, 656) = 198112 / 99056

GCD(302, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 301

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

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

GCD(2, 301) = 602 / 602

GCD(2, 301) = 1

GCD of 302, 656, 20, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 877, 65, 674
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• GCD of 624, 123, 16, 553
• GCD of 182, 203, 85, 226
• GCD of 752, 740, 10, 501

1. What is the GCD of 302, 656, 20, 301?

GCD of 302, 656, 20, 301 is 1

2. Where do I get the detailed procedure to find GCD of 302, 656, 20, 301?

You can find a detailed procedure to find GCD of 302, 656, 20, 301 on our page.

3. How to find GCD of 302, 656, 20, 301 on a calculator?

You can find the GCD of 302, 656, 20, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.