GCD of 625, 669, 518, 638 Calculator

Given Input numbers are 625, 669, 518, 638

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 625, 669, 518, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 669, 518, 638 is 1.

Therefore, GCD of numbers 625, 669, 518, 638 is 1

Given Input Data is 625, 669, 518, 638

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 669 is 3 x 223

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 638 is 2 x 11 x 29

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(625, 669) = 418125

GCD(625, 669) = ( 625 x 669 ) / 418125

GCD(625, 669) = 418125 / 418125

GCD(625, 669) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 625, 669, 518, 638 is 1

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1. What is the GCD of 625, 669, 518, 638?

GCD of 625, 669, 518, 638 is 1

2. Where do I get the detailed procedure to find GCD of 625, 669, 518, 638?

You can find a detailed procedure to find GCD of 625, 669, 518, 638 on our page.

3. How to find GCD of 625, 669, 518, 638 on a calculator?

You can find the GCD of 625, 669, 518, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.