GCD of 814, 825, 134, 881 Calculator

Given Input numbers are 814, 825, 134, 881

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

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 881

List of positive integer divisors of 881 that divides 881 without a remainder.

1, 881

Greatest Common Divisior

We found the divisors of 814, 825, 134, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 825, 134, 881 is 1.

Therefore, GCD of numbers 814, 825, 134, 881 is 1

Given Input Data is 814, 825, 134, 881

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

Prime Factorization of 814 is 2 x 11 x 37

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 881 is 881

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(814, 825) = 61050

GCD(814, 825) = ( 814 x 825 ) / 61050

GCD(814, 825) = 671550 / 61050

GCD(814, 825) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 134

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

LCM(11, 134) = 1474

GCD(11, 134) = ( 11 x 134 ) / 1474

GCD(11, 134) = 1474 / 1474

GCD(11, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 881

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

LCM(1, 881) = 881

GCD(1, 881) = ( 1 x 881 ) / 881

GCD(1, 881) = 881 / 881

GCD(1, 881) = 1

GCD of 814, 825, 134, 881 is 1

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1. What is the GCD of 814, 825, 134, 881?

GCD of 814, 825, 134, 881 is 1

2. Where do I get the detailed procedure to find GCD of 814, 825, 134, 881?

You can find a detailed procedure to find GCD of 814, 825, 134, 881 on our page.

3. How to find GCD of 814, 825, 134, 881 on a calculator?

You can find the GCD of 814, 825, 134, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.