GCD of 345, 798, 74, 837 Calculator

Given Input numbers are 345, 798, 74, 837

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 74

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

1, 2, 37, 74

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 345, 798, 74, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 798, 74, 837 is 1.

Therefore, GCD of numbers 345, 798, 74, 837 is 1

Given Input Data is 345, 798, 74, 837

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 837 is 3 x 3 x 3 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(345, 798) = 91770

GCD(345, 798) = ( 345 x 798 ) / 91770

GCD(345, 798) = 275310 / 91770

GCD(345, 798) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

GCD of 345, 798, 74, 837 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 864, 76, 309
• GCD of 183, 359, 72, 701
• GCD of 721, 631, 77, 464
• GCD of 134, 884, 51, 754
• GCD of 198, 481, 73, 699

1. What is the GCD of 345, 798, 74, 837?

GCD of 345, 798, 74, 837 is 1

2. Where do I get the detailed procedure to find GCD of 345, 798, 74, 837?

You can find a detailed procedure to find GCD of 345, 798, 74, 837 on our page.

3. How to find GCD of 345, 798, 74, 837 on a calculator?

You can find the GCD of 345, 798, 74, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.