GCD of 136, 828, 80, 313 Calculator

Given Input numbers are 136, 828, 80, 313

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 136, 828, 80, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 828, 80, 313 is 1.

Therefore, GCD of numbers 136, 828, 80, 313 is 1

Given Input Data is 136, 828, 80, 313

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 313 is 313

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, 828) = 28152

GCD(136, 828) = ( 136 x 828 ) / 28152

GCD(136, 828) = 112608 / 28152

GCD(136, 828) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 313

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

LCM(4, 313) = 1252

GCD(4, 313) = ( 4 x 313 ) / 1252

GCD(4, 313) = 1252 / 1252

GCD(4, 313) = 1

GCD of 136, 828, 80, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 330, 45, 401
• GCD of 795, 302, 46, 326
• GCD of 348, 956, 95, 957
• GCD of 424, 457, 65, 238
• GCD of 149, 909, 80, 288

1. What is the GCD of 136, 828, 80, 313?

GCD of 136, 828, 80, 313 is 1

2. Where do I get the detailed procedure to find GCD of 136, 828, 80, 313?

You can find a detailed procedure to find GCD of 136, 828, 80, 313 on our page.

3. How to find GCD of 136, 828, 80, 313 on a calculator?

You can find the GCD of 136, 828, 80, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.