GCD of 136, 604, 692, 299 Calculator

Given Input numbers are 136, 604, 692, 299

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 604

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

1, 2, 4, 151, 302, 604

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 299

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

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 136, 604, 692, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 604, 692, 299 is 1.

Therefore, GCD of numbers 136, 604, 692, 299 is 1

Given Input Data is 136, 604, 692, 299

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 299 is 13 x 23

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(136, 604) = 20536

GCD(136, 604) = ( 136 x 604 ) / 20536

GCD(136, 604) = 82144 / 20536

GCD(136, 604) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 692

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

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

GCD(4, 692) = 2768 / 692

GCD(4, 692) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 299

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

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

GCD(4, 299) = 1196 / 1196

GCD(4, 299) = 1

GCD of 136, 604, 692, 299 is 1

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1. What is the GCD of 136, 604, 692, 299?

GCD of 136, 604, 692, 299 is 1

2. Where do I get the detailed procedure to find GCD of 136, 604, 692, 299?

You can find a detailed procedure to find GCD of 136, 604, 692, 299 on our page.

3. How to find GCD of 136, 604, 692, 299 on a calculator?

You can find the GCD of 136, 604, 692, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.