GCD of 489, 164, 37, 419 Calculator

Given Input numbers are 489, 164, 37, 419

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 489, 164, 37, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 164, 37, 419 is 1.

Therefore, GCD of numbers 489, 164, 37, 419 is 1

Given Input Data is 489, 164, 37, 419

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 37 is 37

Prime Factorization of 419 is 419

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(489, 164) = 80196

GCD(489, 164) = ( 489 x 164 ) / 80196

GCD(489, 164) = 80196 / 80196

GCD(489, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 489, 164, 37, 419 is 1

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• GCD of 102, 234, 46, 499
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• GCD of 264, 132, 29, 788

1. What is the GCD of 489, 164, 37, 419?

GCD of 489, 164, 37, 419 is 1

2. Where do I get the detailed procedure to find GCD of 489, 164, 37, 419?

You can find a detailed procedure to find GCD of 489, 164, 37, 419 on our page.

3. How to find GCD of 489, 164, 37, 419 on a calculator?

You can find the GCD of 489, 164, 37, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.