GCD of 758, 225, 174, 596 Calculator

Given Input numbers are 758, 225, 174, 596

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 758, 225, 174, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 225, 174, 596 is 1.

Therefore, GCD of numbers 758, 225, 174, 596 is 1

Given Input Data is 758, 225, 174, 596

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 596 is 2 x 2 x 149

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(758, 225) = 170550

GCD(758, 225) = ( 758 x 225 ) / 170550

GCD(758, 225) = 170550 / 170550

GCD(758, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 758, 225, 174, 596 is 1

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1. What is the GCD of 758, 225, 174, 596?

GCD of 758, 225, 174, 596 is 1

2. Where do I get the detailed procedure to find GCD of 758, 225, 174, 596?

You can find a detailed procedure to find GCD of 758, 225, 174, 596 on our page.

3. How to find GCD of 758, 225, 174, 596 on a calculator?

You can find the GCD of 758, 225, 174, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.