GCD of 744, 723, 170, 889 Calculator

Given Input numbers are 744, 723, 170, 889

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 723

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

1, 3, 241, 723

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 744, 723, 170, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 723, 170, 889 is 1.

Therefore, GCD of numbers 744, 723, 170, 889 is 1

Given Input Data is 744, 723, 170, 889

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 723 is 3 x 241

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 889 is 7 x 127

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(744, 723) = 179304

GCD(744, 723) = ( 744 x 723 ) / 179304

GCD(744, 723) = 537912 / 179304

GCD(744, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 170

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

LCM(3, 170) = 510

GCD(3, 170) = ( 3 x 170 ) / 510

GCD(3, 170) = 510 / 510

GCD(3, 170) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 744, 723, 170, 889 is 1

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1. What is the GCD of 744, 723, 170, 889?

GCD of 744, 723, 170, 889 is 1

2. Where do I get the detailed procedure to find GCD of 744, 723, 170, 889?

You can find a detailed procedure to find GCD of 744, 723, 170, 889 on our page.

3. How to find GCD of 744, 723, 170, 889 on a calculator?

You can find the GCD of 744, 723, 170, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.