GCD of 135, 827, 162 Calculator

Given Input numbers are 135, 827, 162

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 135, 827, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 827, 162 is 1.

Therefore, GCD of numbers 135, 827, 162 is 1

Given Input Data is 135, 827, 162

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 827 is 827

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(135, 827) = 111645

GCD(135, 827) = ( 135 x 827 ) / 111645

GCD(135, 827) = 111645 / 111645

GCD(135, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 135, 827, 162 is 1

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1. What is the GCD of 135, 827, 162?

GCD of 135, 827, 162 is 1

2. Where do I get the detailed procedure to find GCD of 135, 827, 162?

You can find a detailed procedure to find GCD of 135, 827, 162 on our page.

3. How to find GCD of 135, 827, 162 on a calculator?

You can find the GCD of 135, 827, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.