GCD of 683, 849, 779, 916 Calculator

Given Input numbers are 683, 849, 779, 916

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 683, 849, 779, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 849, 779, 916 is 1.

Therefore, GCD of numbers 683, 849, 779, 916 is 1

Given Input Data is 683, 849, 779, 916

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

Prime Factorization of 683 is 683

Prime Factorization of 849 is 3 x 283

Prime Factorization of 779 is 19 x 41

Prime Factorization of 916 is 2 x 2 x 229

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(683, 849) = 579867

GCD(683, 849) = ( 683 x 849 ) / 579867

GCD(683, 849) = 579867 / 579867

GCD(683, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 683, 849, 779, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 420, 944, 189
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• GCD of 902, 694, 123, 429
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• GCD of 551, 255, 838, 732

1. What is the GCD of 683, 849, 779, 916?

GCD of 683, 849, 779, 916 is 1

2. Where do I get the detailed procedure to find GCD of 683, 849, 779, 916?

You can find a detailed procedure to find GCD of 683, 849, 779, 916 on our page.

3. How to find GCD of 683, 849, 779, 916 on a calculator?

You can find the GCD of 683, 849, 779, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.