GCD of 299, 168, 136, 509 Calculator

Given Input numbers are 299, 168, 136, 509

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 299, 168, 136, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 168, 136, 509 is 1.

Therefore, GCD of numbers 299, 168, 136, 509 is 1

Given Input Data is 299, 168, 136, 509

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 509 is 509

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, 168) = 50232

GCD(299, 168) = ( 299 x 168 ) / 50232

GCD(299, 168) = 50232 / 50232

GCD(299, 168) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 299, 168, 136, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 212, 813, 291
• GCD of 587, 330, 118, 134
• GCD of 653, 770, 545, 799
• GCD of 507, 610, 412, 678
• GCD of 668, 512, 243, 558

1. What is the GCD of 299, 168, 136, 509?

GCD of 299, 168, 136, 509 is 1

2. Where do I get the detailed procedure to find GCD of 299, 168, 136, 509?

You can find a detailed procedure to find GCD of 299, 168, 136, 509 on our page.

3. How to find GCD of 299, 168, 136, 509 on a calculator?

You can find the GCD of 299, 168, 136, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.