GCD of 604, 368, 49, 734 Calculator

Given Input numbers are 604, 368, 49, 734

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 604, 368, 49, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 368, 49, 734 is 1.

Therefore, GCD of numbers 604, 368, 49, 734 is 1

Given Input Data is 604, 368, 49, 734

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

Prime Factorization of 604 is 2 x 2 x 151

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 734 is 2 x 367

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(604, 368) = 55568

GCD(604, 368) = ( 604 x 368 ) / 55568

GCD(604, 368) = 222272 / 55568

GCD(604, 368) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 604, 368, 49, 734 is 1

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1. What is the GCD of 604, 368, 49, 734?

GCD of 604, 368, 49, 734 is 1

2. Where do I get the detailed procedure to find GCD of 604, 368, 49, 734?

You can find a detailed procedure to find GCD of 604, 368, 49, 734 on our page.

3. How to find GCD of 604, 368, 49, 734 on a calculator?

You can find the GCD of 604, 368, 49, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.