GCD of 684, 198, 474, 710 Calculator

Given Input numbers are 684, 198, 474, 710

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 684, 198, 474, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 198, 474, 710 is 2.

Therefore, GCD of numbers 684, 198, 474, 710 is 2

Given Input Data is 684, 198, 474, 710

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 710 is 2 x 5 x 71

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(684, 198) = 7524

GCD(684, 198) = ( 684 x 198 ) / 7524

GCD(684, 198) = 135432 / 7524

GCD(684, 198) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 474

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

LCM(18, 474) = 1422

GCD(18, 474) = ( 18 x 474 ) / 1422

GCD(18, 474) = 8532 / 1422

GCD(18, 474) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 710

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

LCM(6, 710) = 2130

GCD(6, 710) = ( 6 x 710 ) / 2130

GCD(6, 710) = 4260 / 2130

GCD(6, 710) = 2

GCD of 684, 198, 474, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 735, 983, 157
• GCD of 872, 564, 305, 663
• GCD of 328, 725, 703, 257
• GCD of 626, 431, 947, 352
• GCD of 378, 624, 135, 463

1. What is the GCD of 684, 198, 474, 710?

GCD of 684, 198, 474, 710 is 2

2. Where do I get the detailed procedure to find GCD of 684, 198, 474, 710?

You can find a detailed procedure to find GCD of 684, 198, 474, 710 on our page.

3. How to find GCD of 684, 198, 474, 710 on a calculator?

You can find the GCD of 684, 198, 474, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.