GCD of 744, 166, 898, 383 Calculator

Given Input numbers are 744, 166, 898, 383

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 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 744, 166, 898, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 166, 898, 383 is 1.

Therefore, GCD of numbers 744, 166, 898, 383 is 1

Given Input Data is 744, 166, 898, 383

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 166 is 2 x 83

Prime Factorization of 898 is 2 x 449

Prime Factorization of 383 is 383

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, 166) = 61752

GCD(744, 166) = ( 744 x 166 ) / 61752

GCD(744, 166) = 123504 / 61752

GCD(744, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 383

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

LCM(2, 383) = 766

GCD(2, 383) = ( 2 x 383 ) / 766

GCD(2, 383) = 766 / 766

GCD(2, 383) = 1

GCD of 744, 166, 898, 383 is 1

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1. What is the GCD of 744, 166, 898, 383?

GCD of 744, 166, 898, 383 is 1

2. Where do I get the detailed procedure to find GCD of 744, 166, 898, 383?

You can find a detailed procedure to find GCD of 744, 166, 898, 383 on our page.

3. How to find GCD of 744, 166, 898, 383 on a calculator?

You can find the GCD of 744, 166, 898, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.