GCD of 52, 774, 189, 703 Calculator

Given Input numbers are 52, 774, 189, 703

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 52, 774, 189, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 774, 189, 703 is 1.

Therefore, GCD of numbers 52, 774, 189, 703 is 1

Given Input Data is 52, 774, 189, 703

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 703 is 19 x 37

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(52, 774) = 20124

GCD(52, 774) = ( 52 x 774 ) / 20124

GCD(52, 774) = 40248 / 20124

GCD(52, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 52, 774, 189, 703 is 1

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1. What is the GCD of 52, 774, 189, 703?

GCD of 52, 774, 189, 703 is 1

2. Where do I get the detailed procedure to find GCD of 52, 774, 189, 703?

You can find a detailed procedure to find GCD of 52, 774, 189, 703 on our page.

3. How to find GCD of 52, 774, 189, 703 on a calculator?

You can find the GCD of 52, 774, 189, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.