GCD of 714, 687, 867, 798 Calculator

Given Input numbers are 714, 687, 867, 798

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 687

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

1, 3, 229, 687

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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

Greatest Common Divisior

We found the divisors of 714, 687, 867, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 687, 867, 798 is 3.

Therefore, GCD of numbers 714, 687, 867, 798 is 3

Given Input Data is 714, 687, 867, 798

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 687 is 3 x 229

Prime Factorization of 867 is 3 x 17 x 17

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(714, 687) = 163506

GCD(714, 687) = ( 714 x 687 ) / 163506

GCD(714, 687) = 490518 / 163506

GCD(714, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 867

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

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

GCD(3, 867) = 2601 / 867

GCD(3, 867) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 798

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

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

GCD(3, 798) = 2394 / 798

GCD(3, 798) = 3

GCD of 714, 687, 867, 798 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 501, 312, 209
• GCD of 867, 309, 418, 417
• GCD of 569, 595, 523, 945
• GCD of 895, 490, 972, 463
• GCD of 362, 687, 411, 757

1. What is the GCD of 714, 687, 867, 798?

GCD of 714, 687, 867, 798 is 3

2. Where do I get the detailed procedure to find GCD of 714, 687, 867, 798?

You can find a detailed procedure to find GCD of 714, 687, 867, 798 on our page.

3. How to find GCD of 714, 687, 867, 798 on a calculator?

You can find the GCD of 714, 687, 867, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.