GCD of 136, 825, 30, 279 Calculator

Given Input numbers are 136, 825, 30, 279

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 136, 825, 30, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 825, 30, 279 is 1.

Therefore, GCD of numbers 136, 825, 30, 279 is 1

Given Input Data is 136, 825, 30, 279

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 825 is 3 x 5 x 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 279 is 3 x 3 x 31

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, 825) = 112200

GCD(136, 825) = ( 136 x 825 ) / 112200

GCD(136, 825) = 112200 / 112200

GCD(136, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 136, 825, 30, 279 is 1

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1. What is the GCD of 136, 825, 30, 279?

GCD of 136, 825, 30, 279 is 1

2. Where do I get the detailed procedure to find GCD of 136, 825, 30, 279?

You can find a detailed procedure to find GCD of 136, 825, 30, 279 on our page.

3. How to find GCD of 136, 825, 30, 279 on a calculator?

You can find the GCD of 136, 825, 30, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.