GCD of 703, 382, 21, 219 Calculator

Given Input numbers are 703, 382, 21, 219

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 703, 382, 21, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 382, 21, 219 is 1.

Therefore, GCD of numbers 703, 382, 21, 219 is 1

Given Input Data is 703, 382, 21, 219

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 382 is 2 x 191

Prime Factorization of 21 is 3 x 7

Prime Factorization of 219 is 3 x 73

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, 382) = 268546

GCD(703, 382) = ( 703 x 382 ) / 268546

GCD(703, 382) = 268546 / 268546

GCD(703, 382) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 703, 382, 21, 219 is 1

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1. What is the GCD of 703, 382, 21, 219?

GCD of 703, 382, 21, 219 is 1

2. Where do I get the detailed procedure to find GCD of 703, 382, 21, 219?

You can find a detailed procedure to find GCD of 703, 382, 21, 219 on our page.

3. How to find GCD of 703, 382, 21, 219 on a calculator?

You can find the GCD of 703, 382, 21, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.