GCD of 694, 898, 14, 387 Calculator

Given Input numbers are 694, 898, 14, 387

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 14

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

1, 2, 7, 14

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 694, 898, 14, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 898, 14, 387 is 1.

Therefore, GCD of numbers 694, 898, 14, 387 is 1

Given Input Data is 694, 898, 14, 387

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 898 is 2 x 449

Prime Factorization of 14 is 2 x 7

Prime Factorization of 387 is 3 x 3 x 43

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, 898) = 311606

GCD(694, 898) = ( 694 x 898 ) / 311606

GCD(694, 898) = 623212 / 311606

GCD(694, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 387

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

LCM(2, 387) = 774

GCD(2, 387) = ( 2 x 387 ) / 774

GCD(2, 387) = 774 / 774

GCD(2, 387) = 1

GCD of 694, 898, 14, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 978, 78, 799
• GCD of 330, 718, 62, 602
• GCD of 527, 714, 21, 270
• GCD of 837, 183, 58, 975
• GCD of 178, 931, 29, 525

1. What is the GCD of 694, 898, 14, 387?

GCD of 694, 898, 14, 387 is 1

2. Where do I get the detailed procedure to find GCD of 694, 898, 14, 387?

You can find a detailed procedure to find GCD of 694, 898, 14, 387 on our page.

3. How to find GCD of 694, 898, 14, 387 on a calculator?

You can find the GCD of 694, 898, 14, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.