GCD of 114, 768, 340, 696 Calculator

Given Input numbers are 114, 768, 340, 696

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

Divisors of 114

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

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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 114, 768, 340, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 768, 340, 696 is 2.

Therefore, GCD of numbers 114, 768, 340, 696 is 2

Given Input Data is 114, 768, 340, 696

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(114, 768) = 14592

GCD(114, 768) = ( 114 x 768 ) / 14592

GCD(114, 768) = 87552 / 14592

GCD(114, 768) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 340

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

LCM(6, 340) = 1020

GCD(6, 340) = ( 6 x 340 ) / 1020

GCD(6, 340) = 2040 / 1020

GCD(6, 340) = 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 114, 768, 340, 696 is 2

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1. What is the GCD of 114, 768, 340, 696?

GCD of 114, 768, 340, 696 is 2

2. Where do I get the detailed procedure to find GCD of 114, 768, 340, 696?

You can find a detailed procedure to find GCD of 114, 768, 340, 696 on our page.

3. How to find GCD of 114, 768, 340, 696 on a calculator?

You can find the GCD of 114, 768, 340, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.