GCD of 694, 723, 14, 850 Calculator

Given Input numbers are 694, 723, 14, 850

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 694, 723, 14, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 723, 14, 850 is 1.

Therefore, GCD of numbers 694, 723, 14, 850 is 1

Given Input Data is 694, 723, 14, 850

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 723 is 3 x 241

Prime Factorization of 14 is 2 x 7

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(694, 723) = 501762

GCD(694, 723) = ( 694 x 723 ) / 501762

GCD(694, 723) = 501762 / 501762

GCD(694, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 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 694, 723, 14, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 850, 34, 766
• GCD of 734, 363, 55, 747
• GCD of 797, 600, 82, 660
• GCD of 553, 764, 86, 623
• GCD of 309, 144, 19, 932

1. What is the GCD of 694, 723, 14, 850?

GCD of 694, 723, 14, 850 is 1

2. Where do I get the detailed procedure to find GCD of 694, 723, 14, 850?

You can find a detailed procedure to find GCD of 694, 723, 14, 850 on our page.

3. How to find GCD of 694, 723, 14, 850 on a calculator?

You can find the GCD of 694, 723, 14, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.