GCD of 687, 983, 14, 142 Calculator

Given Input numbers are 687, 983, 14, 142

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 14

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

1, 2, 7, 14

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 687, 983, 14, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 983, 14, 142 is 1.

Therefore, GCD of numbers 687, 983, 14, 142 is 1

Given Input Data is 687, 983, 14, 142

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 983 is 983

Prime Factorization of 14 is 2 x 7

Prime Factorization of 142 is 2 x 71

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(687, 983) = 675321

GCD(687, 983) = ( 687 x 983 ) / 675321

GCD(687, 983) = 675321 / 675321

GCD(687, 983) = 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 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 687, 983, 14, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 216, 99, 557
• GCD of 702, 362, 93, 509
• GCD of 631, 229, 71, 890
• GCD of 108, 346, 37, 552
• GCD of 502, 570, 16, 342

1. What is the GCD of 687, 983, 14, 142?

GCD of 687, 983, 14, 142 is 1

2. Where do I get the detailed procedure to find GCD of 687, 983, 14, 142?

You can find a detailed procedure to find GCD of 687, 983, 14, 142 on our page.

3. How to find GCD of 687, 983, 14, 142 on a calculator?

You can find the GCD of 687, 983, 14, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.