GCD of 164, 123, 603, 125 Calculator

Given Input numbers are 164, 123, 603, 125

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

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 164, 123, 603, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 123, 603, 125 is 1.

Therefore, GCD of numbers 164, 123, 603, 125 is 1

Given Input Data is 164, 123, 603, 125

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 123 is 3 x 41

Prime Factorization of 603 is 3 x 3 x 67

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(164, 123) = 492

GCD(164, 123) = ( 164 x 123 ) / 492

GCD(164, 123) = 20172 / 492

GCD(164, 123) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 603

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

LCM(41, 603) = 24723

GCD(41, 603) = ( 41 x 603 ) / 24723

GCD(41, 603) = 24723 / 24723

GCD(41, 603) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 164, 123, 603, 125 is 1

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1. What is the GCD of 164, 123, 603, 125?

GCD of 164, 123, 603, 125 is 1

2. Where do I get the detailed procedure to find GCD of 164, 123, 603, 125?

You can find a detailed procedure to find GCD of 164, 123, 603, 125 on our page.

3. How to find GCD of 164, 123, 603, 125 on a calculator?

You can find the GCD of 164, 123, 603, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.