GCD of 696, 492, 398, 516 Calculator

Given Input numbers are 696, 492, 398, 516

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 696, 492, 398, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 492, 398, 516 is 2.

Therefore, GCD of numbers 696, 492, 398, 516 is 2

Given Input Data is 696, 492, 398, 516

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 492 is 2 x 2 x 3 x 41

Prime Factorization of 398 is 2 x 199

Prime Factorization of 516 is 2 x 2 x 3 x 43

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, 492) = 28536

GCD(696, 492) = ( 696 x 492 ) / 28536

GCD(696, 492) = 342432 / 28536

GCD(696, 492) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 398

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

LCM(12, 398) = 2388

GCD(12, 398) = ( 12 x 398 ) / 2388

GCD(12, 398) = 4776 / 2388

GCD(12, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 696, 492, 398, 516 is 2

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1. What is the GCD of 696, 492, 398, 516?

GCD of 696, 492, 398, 516 is 2

2. Where do I get the detailed procedure to find GCD of 696, 492, 398, 516?

You can find a detailed procedure to find GCD of 696, 492, 398, 516 on our page.

3. How to find GCD of 696, 492, 398, 516 on a calculator?

You can find the GCD of 696, 492, 398, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.