GCD of 816, 820, 680, 930 Calculator

Given Input numbers are 816, 820, 680, 930

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 816, 820, 680, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 820, 680, 930 is 2.

Therefore, GCD of numbers 816, 820, 680, 930 is 2

Given Input Data is 816, 820, 680, 930

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(816, 820) = 167280

GCD(816, 820) = ( 816 x 820 ) / 167280

GCD(816, 820) = 669120 / 167280

GCD(816, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 680

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

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

GCD(4, 680) = 2720 / 680

GCD(4, 680) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 930

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

LCM(4, 930) = 1860

GCD(4, 930) = ( 4 x 930 ) / 1860

GCD(4, 930) = 3720 / 1860

GCD(4, 930) = 2

GCD of 816, 820, 680, 930 is 2

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1. What is the GCD of 816, 820, 680, 930?

GCD of 816, 820, 680, 930 is 2

2. Where do I get the detailed procedure to find GCD of 816, 820, 680, 930?

You can find a detailed procedure to find GCD of 816, 820, 680, 930 on our page.

3. How to find GCD of 816, 820, 680, 930 on a calculator?

You can find the GCD of 816, 820, 680, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.