GCD of 270, 829, 914, 812 Calculator

Given Input numbers are 270, 829, 914, 812

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 270, 829, 914, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 829, 914, 812 is 1.

Therefore, GCD of numbers 270, 829, 914, 812 is 1

Given Input Data is 270, 829, 914, 812

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 829 is 829

Prime Factorization of 914 is 2 x 457

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(270, 829) = 223830

GCD(270, 829) = ( 270 x 829 ) / 223830

GCD(270, 829) = 223830 / 223830

GCD(270, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 270, 829, 914, 812 is 1

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1. What is the GCD of 270, 829, 914, 812?

GCD of 270, 829, 914, 812 is 1

2. Where do I get the detailed procedure to find GCD of 270, 829, 914, 812?

You can find a detailed procedure to find GCD of 270, 829, 914, 812 on our page.

3. How to find GCD of 270, 829, 914, 812 on a calculator?

You can find the GCD of 270, 829, 914, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.