GCD of 488, 470, 25, 674 Calculator

Given Input numbers are 488, 470, 25, 674

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 25

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

1, 5, 25

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 488, 470, 25, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 470, 25, 674 is 1.

Therefore, GCD of numbers 488, 470, 25, 674 is 1

Given Input Data is 488, 470, 25, 674

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 25 is 5 x 5

Prime Factorization of 674 is 2 x 337

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(488, 470) = 114680

GCD(488, 470) = ( 488 x 470 ) / 114680

GCD(488, 470) = 229360 / 114680

GCD(488, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 488, 470, 25, 674 is 1

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1. What is the GCD of 488, 470, 25, 674?

GCD of 488, 470, 25, 674 is 1

2. Where do I get the detailed procedure to find GCD of 488, 470, 25, 674?

You can find a detailed procedure to find GCD of 488, 470, 25, 674 on our page.

3. How to find GCD of 488, 470, 25, 674 on a calculator?

You can find the GCD of 488, 470, 25, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.