GCD of 723, 190, 38, 988 Calculator

Given Input numbers are 723, 190, 38, 988

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 723, 190, 38, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 190, 38, 988 is 1.

Therefore, GCD of numbers 723, 190, 38, 988 is 1

Given Input Data is 723, 190, 38, 988

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 38 is 2 x 19

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(723, 190) = 137370

GCD(723, 190) = ( 723 x 190 ) / 137370

GCD(723, 190) = 137370 / 137370

GCD(723, 190) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 723, 190, 38, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 499, 43, 921
• GCD of 354, 633, 29, 316
• GCD of 150, 158, 41, 803
• GCD of 581, 221, 54, 163
• GCD of 995, 138, 16, 456

1. What is the GCD of 723, 190, 38, 988?

GCD of 723, 190, 38, 988 is 1

2. Where do I get the detailed procedure to find GCD of 723, 190, 38, 988?

You can find a detailed procedure to find GCD of 723, 190, 38, 988 on our page.

3. How to find GCD of 723, 190, 38, 988 on a calculator?

You can find the GCD of 723, 190, 38, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.