GCD of 744, 479, 17, 359 Calculator

Given Input numbers are 744, 479, 17, 359

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 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 744, 479, 17, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 479, 17, 359 is 1.

Therefore, GCD of numbers 744, 479, 17, 359 is 1

Given Input Data is 744, 479, 17, 359

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 479 is 479

Prime Factorization of 17 is 17

Prime Factorization of 359 is 359

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, 479) = 356376

GCD(744, 479) = ( 744 x 479 ) / 356376

GCD(744, 479) = 356376 / 356376

GCD(744, 479) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 744, 479, 17, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 884, 11, 757
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• GCD of 742, 624, 47, 153
• GCD of 196, 514, 41, 430

1. What is the GCD of 744, 479, 17, 359?

GCD of 744, 479, 17, 359 is 1

2. Where do I get the detailed procedure to find GCD of 744, 479, 17, 359?

You can find a detailed procedure to find GCD of 744, 479, 17, 359 on our page.

3. How to find GCD of 744, 479, 17, 359 on a calculator?

You can find the GCD of 744, 479, 17, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.