GCD of 604, 302, 112, 125 Calculator

Given Input numbers are 604, 302, 112, 125

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 604, 302, 112, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 302, 112, 125 is 1.

Therefore, GCD of numbers 604, 302, 112, 125 is 1

Given Input Data is 604, 302, 112, 125

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 302 is 2 x 151

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 125 is 5 x 5 x 5

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, 302) = 604

GCD(604, 302) = ( 604 x 302 ) / 604

GCD(604, 302) = 182408 / 604

GCD(604, 302) = 302

Step2:

Here we consider the GCD from the above i.e. 302 as first number and the next as 112

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

LCM(302, 112) = 16912

GCD(302, 112) = ( 302 x 112 ) / 16912

GCD(302, 112) = 33824 / 16912

GCD(302, 112) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

GCD of 604, 302, 112, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 763, 774, 289
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• GCD of 688, 925, 264, 964

1. What is the GCD of 604, 302, 112, 125?

GCD of 604, 302, 112, 125 is 1

2. Where do I get the detailed procedure to find GCD of 604, 302, 112, 125?

You can find a detailed procedure to find GCD of 604, 302, 112, 125 on our page.

3. How to find GCD of 604, 302, 112, 125 on a calculator?

You can find the GCD of 604, 302, 112, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.