GCD of 693, 963, 182, 849 Calculator

Given Input numbers are 693, 963, 182, 849

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 693, 963, 182, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 963, 182, 849 is 1.

Therefore, GCD of numbers 693, 963, 182, 849 is 1

Given Input Data is 693, 963, 182, 849

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 849 is 3 x 283

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(693, 963) = 74151

GCD(693, 963) = ( 693 x 963 ) / 74151

GCD(693, 963) = 667359 / 74151

GCD(693, 963) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 182

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

LCM(9, 182) = 1638

GCD(9, 182) = ( 9 x 182 ) / 1638

GCD(9, 182) = 1638 / 1638

GCD(9, 182) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 693, 963, 182, 849 is 1

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1. What is the GCD of 693, 963, 182, 849?

GCD of 693, 963, 182, 849 is 1

2. Where do I get the detailed procedure to find GCD of 693, 963, 182, 849?

You can find a detailed procedure to find GCD of 693, 963, 182, 849 on our page.

3. How to find GCD of 693, 963, 182, 849 on a calculator?

You can find the GCD of 693, 963, 182, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.