GCD of 703, 268, 17, 819 Calculator

Given Input numbers are 703, 268, 17, 819

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

Divisors of 703

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

1, 19, 37, 703

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 703, 268, 17, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 268, 17, 819 is 1.

Therefore, GCD of numbers 703, 268, 17, 819 is 1

Given Input Data is 703, 268, 17, 819

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 17 is 17

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(703, 268) = 188404

GCD(703, 268) = ( 703 x 268 ) / 188404

GCD(703, 268) = 188404 / 188404

GCD(703, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 703, 268, 17, 819 is 1

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1. What is the GCD of 703, 268, 17, 819?

GCD of 703, 268, 17, 819 is 1

2. Where do I get the detailed procedure to find GCD of 703, 268, 17, 819?

You can find a detailed procedure to find GCD of 703, 268, 17, 819 on our page.

3. How to find GCD of 703, 268, 17, 819 on a calculator?

You can find the GCD of 703, 268, 17, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.