GCD of 335, 406, 820, 305 Calculator

Given Input numbers are 335, 406, 820, 305

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

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 305

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

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 335, 406, 820, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 406, 820, 305 is 1.

Therefore, GCD of numbers 335, 406, 820, 305 is 1

Given Input Data is 335, 406, 820, 305

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

Prime Factorization of 335 is 5 x 67

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 305 is 5 x 61

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(335, 406) = 136010

GCD(335, 406) = ( 335 x 406 ) / 136010

GCD(335, 406) = 136010 / 136010

GCD(335, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 335, 406, 820, 305 is 1

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1. What is the GCD of 335, 406, 820, 305?

GCD of 335, 406, 820, 305 is 1

2. Where do I get the detailed procedure to find GCD of 335, 406, 820, 305?

You can find a detailed procedure to find GCD of 335, 406, 820, 305 on our page.

3. How to find GCD of 335, 406, 820, 305 on a calculator?

You can find the GCD of 335, 406, 820, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.