GCD of 108, 206, 30, 714 Calculator

Given Input numbers are 108, 206, 30, 714

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 108, 206, 30, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 206, 30, 714 is 2.

Therefore, GCD of numbers 108, 206, 30, 714 is 2

Given Input Data is 108, 206, 30, 714

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 206 is 2 x 103

Prime Factorization of 30 is 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(108, 206) = 11124

GCD(108, 206) = ( 108 x 206 ) / 11124

GCD(108, 206) = 22248 / 11124

GCD(108, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

GCD of 108, 206, 30, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 574, 77, 759
• GCD of 581, 417, 93, 364
• GCD of 369, 242, 16, 273
• GCD of 587, 544, 12, 671
• GCD of 597, 804, 71, 473

1. What is the GCD of 108, 206, 30, 714?

GCD of 108, 206, 30, 714 is 2

2. Where do I get the detailed procedure to find GCD of 108, 206, 30, 714?

You can find a detailed procedure to find GCD of 108, 206, 30, 714 on our page.

3. How to find GCD of 108, 206, 30, 714 on a calculator?

You can find the GCD of 108, 206, 30, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.