GCD of 164, 628, 625, 835 Calculator

Given Input numbers are 164, 628, 625, 835

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 164, 628, 625, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 628, 625, 835 is 1.

Therefore, GCD of numbers 164, 628, 625, 835 is 1

Given Input Data is 164, 628, 625, 835

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 628 is 2 x 2 x 157

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

Prime Factorization of 835 is 5 x 167

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(164, 628) = 25748

GCD(164, 628) = ( 164 x 628 ) / 25748

GCD(164, 628) = 102992 / 25748

GCD(164, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 625

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

LCM(4, 625) = 2500

GCD(4, 625) = ( 4 x 625 ) / 2500

GCD(4, 625) = 2500 / 2500

GCD(4, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 164, 628, 625, 835 is 1

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1. What is the GCD of 164, 628, 625, 835?

GCD of 164, 628, 625, 835 is 1

2. Where do I get the detailed procedure to find GCD of 164, 628, 625, 835?

You can find a detailed procedure to find GCD of 164, 628, 625, 835 on our page.

3. How to find GCD of 164, 628, 625, 835 on a calculator?

You can find the GCD of 164, 628, 625, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.