GCD of 345, 317, 68, 850 Calculator

Given Input numbers are 345, 317, 68, 850

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 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 345, 317, 68, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 317, 68, 850 is 1.

Therefore, GCD of numbers 345, 317, 68, 850 is 1

Given Input Data is 345, 317, 68, 850

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 317 is 317

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 850 is 2 x 5 x 5 x 17

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, 317) = 109365

GCD(345, 317) = ( 345 x 317 ) / 109365

GCD(345, 317) = 109365 / 109365

GCD(345, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 345, 317, 68, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 586, 53, 971
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• GCD of 994, 680, 13, 195

1. What is the GCD of 345, 317, 68, 850?

GCD of 345, 317, 68, 850 is 1

2. Where do I get the detailed procedure to find GCD of 345, 317, 68, 850?

You can find a detailed procedure to find GCD of 345, 317, 68, 850 on our page.

3. How to find GCD of 345, 317, 68, 850 on a calculator?

You can find the GCD of 345, 317, 68, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.