GCD of 802, 390, 414, 516 Calculator

Given Input numbers are 802, 390, 414, 516

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 802, 390, 414, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 390, 414, 516 is 2.

Therefore, GCD of numbers 802, 390, 414, 516 is 2

Given Input Data is 802, 390, 414, 516

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(802, 390) = 156390

GCD(802, 390) = ( 802 x 390 ) / 156390

GCD(802, 390) = 312780 / 156390

GCD(802, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 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 802, 390, 414, 516 is 2

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1. What is the GCD of 802, 390, 414, 516?

GCD of 802, 390, 414, 516 is 2

2. Where do I get the detailed procedure to find GCD of 802, 390, 414, 516?

You can find a detailed procedure to find GCD of 802, 390, 414, 516 on our page.

3. How to find GCD of 802, 390, 414, 516 on a calculator?

You can find the GCD of 802, 390, 414, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.