GCD of 299, 649, 164, 604 Calculator

Given Input numbers are 299, 649, 164, 604

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 299, 649, 164, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 649, 164, 604 is 1.

Therefore, GCD of numbers 299, 649, 164, 604 is 1

Given Input Data is 299, 649, 164, 604

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 649 is 11 x 59

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 604 is 2 x 2 x 151

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(299, 649) = 194051

GCD(299, 649) = ( 299 x 649 ) / 194051

GCD(299, 649) = 194051 / 194051

GCD(299, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 299, 649, 164, 604 is 1

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1. What is the GCD of 299, 649, 164, 604?

GCD of 299, 649, 164, 604 is 1

2. Where do I get the detailed procedure to find GCD of 299, 649, 164, 604?

You can find a detailed procedure to find GCD of 299, 649, 164, 604 on our page.

3. How to find GCD of 299, 649, 164, 604 on a calculator?

You can find the GCD of 299, 649, 164, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.