GCD of 136, 814, 825 Calculator

Given Input numbers are 136, 814, 825

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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

Greatest Common Divisior

We found the divisors of 136, 814, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 814, 825 is 1.

Therefore, GCD of numbers 136, 814, 825 is 1

Given Input Data is 136, 814, 825

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 814 is 2 x 11 x 37

Prime Factorization of 825 is 3 x 5 x 5 x 11

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, 814) = 55352

GCD(136, 814) = ( 136 x 814 ) / 55352

GCD(136, 814) = 110704 / 55352

GCD(136, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 136, 814, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 403, 896
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• GCD of 186, 433, 311
• GCD of 585, 262, 966
• GCD of 237, 507, 154

1. What is the GCD of 136, 814, 825?

GCD of 136, 814, 825 is 1

2. Where do I get the detailed procedure to find GCD of 136, 814, 825?

You can find a detailed procedure to find GCD of 136, 814, 825 on our page.

3. How to find GCD of 136, 814, 825 on a calculator?

You can find the GCD of 136, 814, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.