GCD of 741, 556, 25, 368 Calculator

Given Input numbers are 741, 556, 25, 368

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 741, 556, 25, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 556, 25, 368 is 1.

Therefore, GCD of numbers 741, 556, 25, 368 is 1

Given Input Data is 741, 556, 25, 368

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 25 is 5 x 5

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(741, 556) = 411996

GCD(741, 556) = ( 741 x 556 ) / 411996

GCD(741, 556) = 411996 / 411996

GCD(741, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 741, 556, 25, 368 is 1

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1. What is the GCD of 741, 556, 25, 368?

GCD of 741, 556, 25, 368 is 1

2. Where do I get the detailed procedure to find GCD of 741, 556, 25, 368?

You can find a detailed procedure to find GCD of 741, 556, 25, 368 on our page.

3. How to find GCD of 741, 556, 25, 368 on a calculator?

You can find the GCD of 741, 556, 25, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.