GCD of 116, 608, 214, 696 Calculator

Given Input numbers are 116, 608, 214, 696

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 116, 608, 214, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 608, 214, 696 is 2.

Therefore, GCD of numbers 116, 608, 214, 696 is 2

Given Input Data is 116, 608, 214, 696

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 214 is 2 x 107

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(116, 608) = 17632

GCD(116, 608) = ( 116 x 608 ) / 17632

GCD(116, 608) = 70528 / 17632

GCD(116, 608) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 214

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

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

GCD(4, 214) = 856 / 428

GCD(4, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 116, 608, 214, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 993, 686, 803
• GCD of 238, 636, 664, 776
• GCD of 215, 320, 667, 250
• GCD of 504, 902, 293, 943
• GCD of 258, 257, 799, 994

1. What is the GCD of 116, 608, 214, 696?

GCD of 116, 608, 214, 696 is 2

2. Where do I get the detailed procedure to find GCD of 116, 608, 214, 696?

You can find a detailed procedure to find GCD of 116, 608, 214, 696 on our page.

3. How to find GCD of 116, 608, 214, 696 on a calculator?

You can find the GCD of 116, 608, 214, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.