GCD of 696, 104, 114 Calculator

Given Input numbers are 696, 104, 114

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

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 696, 104, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 104, 114 is 2.

Therefore, GCD of numbers 696, 104, 114 is 2

Given Input Data is 696, 104, 114

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

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 114 is 2 x 3 x 19

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(696, 104) = 9048

GCD(696, 104) = ( 696 x 104 ) / 9048

GCD(696, 104) = 72384 / 9048

GCD(696, 104) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 114

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

LCM(8, 114) = 456

GCD(8, 114) = ( 8 x 114 ) / 456

GCD(8, 114) = 912 / 456

GCD(8, 114) = 2

GCD of 696, 104, 114 is 2

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1. What is the GCD of 696, 104, 114?

GCD of 696, 104, 114 is 2

2. Where do I get the detailed procedure to find GCD of 696, 104, 114?

You can find a detailed procedure to find GCD of 696, 104, 114 on our page.

3. How to find GCD of 696, 104, 114 on a calculator?

You can find the GCD of 696, 104, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.