GCD of 830, 133, 899, 856 Calculator

Given Input numbers are 830, 133, 899, 856

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 830, 133, 899, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 133, 899, 856 is 1.

Therefore, GCD of numbers 830, 133, 899, 856 is 1

Given Input Data is 830, 133, 899, 856

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 133 is 7 x 19

Prime Factorization of 899 is 29 x 31

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(830, 133) = 110390

GCD(830, 133) = ( 830 x 133 ) / 110390

GCD(830, 133) = 110390 / 110390

GCD(830, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 830, 133, 899, 856 is 1

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1. What is the GCD of 830, 133, 899, 856?

GCD of 830, 133, 899, 856 is 1

2. Where do I get the detailed procedure to find GCD of 830, 133, 899, 856?

You can find a detailed procedure to find GCD of 830, 133, 899, 856 on our page.

3. How to find GCD of 830, 133, 899, 856 on a calculator?

You can find the GCD of 830, 133, 899, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.