GCD of 604, 253, 788, 898 Calculator

Given Input numbers are 604, 253, 788, 898

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 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 604, 253, 788, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 253, 788, 898 is 1.

Therefore, GCD of numbers 604, 253, 788, 898 is 1

Given Input Data is 604, 253, 788, 898

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 253 is 11 x 23

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 898 is 2 x 449

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, 253) = 152812

GCD(604, 253) = ( 604 x 253 ) / 152812

GCD(604, 253) = 152812 / 152812

GCD(604, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 604, 253, 788, 898 is 1

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1. What is the GCD of 604, 253, 788, 898?

GCD of 604, 253, 788, 898 is 1

2. Where do I get the detailed procedure to find GCD of 604, 253, 788, 898?

You can find a detailed procedure to find GCD of 604, 253, 788, 898 on our page.

3. How to find GCD of 604, 253, 788, 898 on a calculator?

You can find the GCD of 604, 253, 788, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.