GCD of 828, 818, 68, 720 Calculator

Given Input numbers are 828, 818, 68, 720

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 828, 818, 68, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 818, 68, 720 is 2.

Therefore, GCD of numbers 828, 818, 68, 720 is 2

Given Input Data is 828, 818, 68, 720

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 818 is 2 x 409

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(828, 818) = 338652

GCD(828, 818) = ( 828 x 818 ) / 338652

GCD(828, 818) = 677304 / 338652

GCD(828, 818) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 828, 818, 68, 720 is 2

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1. What is the GCD of 828, 818, 68, 720?

GCD of 828, 818, 68, 720 is 2

2. Where do I get the detailed procedure to find GCD of 828, 818, 68, 720?

You can find a detailed procedure to find GCD of 828, 818, 68, 720 on our page.

3. How to find GCD of 828, 818, 68, 720 on a calculator?

You can find the GCD of 828, 818, 68, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.