GCD of 634, 216, 830, 314 Calculator

Given Input numbers are 634, 216, 830, 314

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 634, 216, 830, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 216, 830, 314 is 2.

Therefore, GCD of numbers 634, 216, 830, 314 is 2

Given Input Data is 634, 216, 830, 314

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 314 is 2 x 157

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(634, 216) = 68472

GCD(634, 216) = ( 634 x 216 ) / 68472

GCD(634, 216) = 136944 / 68472

GCD(634, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 634, 216, 830, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 939, 435, 335
• GCD of 884, 278, 188, 868
• GCD of 343, 273, 762, 742
• GCD of 371, 464, 624, 589
• GCD of 305, 502, 209, 222

1. What is the GCD of 634, 216, 830, 314?

GCD of 634, 216, 830, 314 is 2

2. Where do I get the detailed procedure to find GCD of 634, 216, 830, 314?

You can find a detailed procedure to find GCD of 634, 216, 830, 314 on our page.

3. How to find GCD of 634, 216, 830, 314 on a calculator?

You can find the GCD of 634, 216, 830, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.