GCD of 164, 409, 368, 628 Calculator

Given Input numbers are 164, 409, 368, 628

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 628

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

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 164, 409, 368, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 409, 368, 628 is 1.

Therefore, GCD of numbers 164, 409, 368, 628 is 1

Given Input Data is 164, 409, 368, 628

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 409 is 409

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 628 is 2 x 2 x 157

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, 409) = 67076

GCD(164, 409) = ( 164 x 409 ) / 67076

GCD(164, 409) = 67076 / 67076

GCD(164, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 164, 409, 368, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 866, 608, 743
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• GCD of 437, 765, 749, 498

1. What is the GCD of 164, 409, 368, 628?

GCD of 164, 409, 368, 628 is 1

2. Where do I get the detailed procedure to find GCD of 164, 409, 368, 628?

You can find a detailed procedure to find GCD of 164, 409, 368, 628 on our page.

3. How to find GCD of 164, 409, 368, 628 on a calculator?

You can find the GCD of 164, 409, 368, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.