GCD of 614, 316, 432, 696 Calculator

Given Input numbers are 614, 316, 432, 696

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 614, 316, 432, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 316, 432, 696 is 2.

Therefore, GCD of numbers 614, 316, 432, 696 is 2

Given Input Data is 614, 316, 432, 696

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(614, 316) = 97012

GCD(614, 316) = ( 614 x 316 ) / 97012

GCD(614, 316) = 194024 / 97012

GCD(614, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 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 614, 316, 432, 696 is 2

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1. What is the GCD of 614, 316, 432, 696?

GCD of 614, 316, 432, 696 is 2

2. Where do I get the detailed procedure to find GCD of 614, 316, 432, 696?

You can find a detailed procedure to find GCD of 614, 316, 432, 696 on our page.

3. How to find GCD of 614, 316, 432, 696 on a calculator?

You can find the GCD of 614, 316, 432, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.