GCD of 302, 608, 305, 213 Calculator

Given Input numbers are 302, 608, 305, 213

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 302, 608, 305, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 608, 305, 213 is 1.

Therefore, GCD of numbers 302, 608, 305, 213 is 1

Given Input Data is 302, 608, 305, 213

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 305 is 5 x 61

Prime Factorization of 213 is 3 x 71

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, 608) = 91808

GCD(302, 608) = ( 302 x 608 ) / 91808

GCD(302, 608) = 183616 / 91808

GCD(302, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 302, 608, 305, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 111, 609, 591
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• GCD of 804, 851, 806, 159
• GCD of 821, 248, 460, 982
• GCD of 285, 351, 460, 467

1. What is the GCD of 302, 608, 305, 213?

GCD of 302, 608, 305, 213 is 1

2. Where do I get the detailed procedure to find GCD of 302, 608, 305, 213?

You can find a detailed procedure to find GCD of 302, 608, 305, 213 on our page.

3. How to find GCD of 302, 608, 305, 213 on a calculator?

You can find the GCD of 302, 608, 305, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.