GCD of 744, 106, 557 Calculator

Given Input numbers are 744, 106, 557

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 744, 106, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 106, 557 is 1.

Therefore, GCD of numbers 744, 106, 557 is 1

Given Input Data is 744, 106, 557

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 106 is 2 x 53

Prime Factorization of 557 is 557

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, 106) = 39432

GCD(744, 106) = ( 744 x 106 ) / 39432

GCD(744, 106) = 78864 / 39432

GCD(744, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 557

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

LCM(2, 557) = 1114

GCD(2, 557) = ( 2 x 557 ) / 1114

GCD(2, 557) = 1114 / 1114

GCD(2, 557) = 1

GCD of 744, 106, 557 is 1

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1. What is the GCD of 744, 106, 557?

GCD of 744, 106, 557 is 1

2. Where do I get the detailed procedure to find GCD of 744, 106, 557?

You can find a detailed procedure to find GCD of 744, 106, 557 on our page.

3. How to find GCD of 744, 106, 557 on a calculator?

You can find the GCD of 744, 106, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.