GCD of 744, 178, 358, 325 Calculator

Given Input numbers are 744, 178, 358, 325

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 744, 178, 358, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 178, 358, 325 is 1.

Therefore, GCD of numbers 744, 178, 358, 325 is 1

Given Input Data is 744, 178, 358, 325

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 178 is 2 x 89

Prime Factorization of 358 is 2 x 179

Prime Factorization of 325 is 5 x 5 x 13

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, 178) = 66216

GCD(744, 178) = ( 744 x 178 ) / 66216

GCD(744, 178) = 132432 / 66216

GCD(744, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 325

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

LCM(2, 325) = 650

GCD(2, 325) = ( 2 x 325 ) / 650

GCD(2, 325) = 650 / 650

GCD(2, 325) = 1

GCD of 744, 178, 358, 325 is 1

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1. What is the GCD of 744, 178, 358, 325?

GCD of 744, 178, 358, 325 is 1

2. Where do I get the detailed procedure to find GCD of 744, 178, 358, 325?

You can find a detailed procedure to find GCD of 744, 178, 358, 325 on our page.

3. How to find GCD of 744, 178, 358, 325 on a calculator?

You can find the GCD of 744, 178, 358, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.