GCD of 684, 776, 644, 819 Calculator

Given Input numbers are 684, 776, 644, 819

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

Greatest Common Divisior

We found the divisors of 684, 776, 644, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 776, 644, 819 is 1.

Therefore, GCD of numbers 684, 776, 644, 819 is 1

Given Input Data is 684, 776, 644, 819

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 644 is 2 x 2 x 7 x 23

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

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(684, 776) = 132696

GCD(684, 776) = ( 684 x 776 ) / 132696

GCD(684, 776) = 530784 / 132696

GCD(684, 776) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 644

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

LCM(4, 644) = 644

GCD(4, 644) = ( 4 x 644 ) / 644

GCD(4, 644) = 2576 / 644

GCD(4, 644) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 819

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

LCM(4, 819) = 3276

GCD(4, 819) = ( 4 x 819 ) / 3276

GCD(4, 819) = 3276 / 3276

GCD(4, 819) = 1

GCD of 684, 776, 644, 819 is 1

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1. What is the GCD of 684, 776, 644, 819?

GCD of 684, 776, 644, 819 is 1

2. Where do I get the detailed procedure to find GCD of 684, 776, 644, 819?

You can find a detailed procedure to find GCD of 684, 776, 644, 819 on our page.

3. How to find GCD of 684, 776, 644, 819 on a calculator?

You can find the GCD of 684, 776, 644, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.