GCD of 337, 805, 74, 842 Calculator

Given Input numbers are 337, 805, 74, 842

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 337, 805, 74, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 805, 74, 842 is 1.

Therefore, GCD of numbers 337, 805, 74, 842 is 1

Given Input Data is 337, 805, 74, 842

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

Prime Factorization of 337 is 337

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 842 is 2 x 421

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(337, 805) = 271285

GCD(337, 805) = ( 337 x 805 ) / 271285

GCD(337, 805) = 271285 / 271285

GCD(337, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 337, 805, 74, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 218, 62, 726
• GCD of 188, 142, 38, 974
• GCD of 339, 998, 52, 533
• GCD of 998, 147, 30, 220
• GCD of 404, 285, 68, 436

1. What is the GCD of 337, 805, 74, 842?

GCD of 337, 805, 74, 842 is 1

2. Where do I get the detailed procedure to find GCD of 337, 805, 74, 842?

You can find a detailed procedure to find GCD of 337, 805, 74, 842 on our page.

3. How to find GCD of 337, 805, 74, 842 on a calculator?

You can find the GCD of 337, 805, 74, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.