GCD of 301, 732, 34, 806 Calculator

Given Input numbers are 301, 732, 34, 806

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

Divisors of 301

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

1, 7, 43, 301

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 301, 732, 34, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 732, 34, 806 is 1.

Therefore, GCD of numbers 301, 732, 34, 806 is 1

Given Input Data is 301, 732, 34, 806

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 34 is 2 x 17

Prime Factorization of 806 is 2 x 13 x 31

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(301, 732) = 220332

GCD(301, 732) = ( 301 x 732 ) / 220332

GCD(301, 732) = 220332 / 220332

GCD(301, 732) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 301, 732, 34, 806 is 1

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1. What is the GCD of 301, 732, 34, 806?

GCD of 301, 732, 34, 806 is 1

2. Where do I get the detailed procedure to find GCD of 301, 732, 34, 806?

You can find a detailed procedure to find GCD of 301, 732, 34, 806 on our page.

3. How to find GCD of 301, 732, 34, 806 on a calculator?

You can find the GCD of 301, 732, 34, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.