GCD of 819, 268, 77, 828 Calculator

Given Input numbers are 819, 268, 77, 828

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 819, 268, 77, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 268, 77, 828 is 1.

Therefore, GCD of numbers 819, 268, 77, 828 is 1

Given Input Data is 819, 268, 77, 828

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 77 is 7 x 11

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

The above numbers do not have any common prime factor. So GCD is 1

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(819, 268) = 219492

GCD(819, 268) = ( 819 x 268 ) / 219492

GCD(819, 268) = 219492 / 219492

GCD(819, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 819, 268, 77, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 101, 87, 137
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1. What is the GCD of 819, 268, 77, 828?

GCD of 819, 268, 77, 828 is 1

2. Where do I get the detailed procedure to find GCD of 819, 268, 77, 828?

You can find a detailed procedure to find GCD of 819, 268, 77, 828 on our page.

3. How to find GCD of 819, 268, 77, 828 on a calculator?

You can find the GCD of 819, 268, 77, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.