GCD of 405, 427, 26, 986 Calculator

Given Input numbers are 405, 427, 26, 986

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 405, 427, 26, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 427, 26, 986 is 1.

Therefore, GCD of numbers 405, 427, 26, 986 is 1

Given Input Data is 405, 427, 26, 986

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 427 is 7 x 61

Prime Factorization of 26 is 2 x 13

Prime Factorization of 986 is 2 x 17 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(405, 427) = 172935

GCD(405, 427) = ( 405 x 427 ) / 172935

GCD(405, 427) = 172935 / 172935

GCD(405, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 405, 427, 26, 986 is 1

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1. What is the GCD of 405, 427, 26, 986?

GCD of 405, 427, 26, 986 is 1

2. Where do I get the detailed procedure to find GCD of 405, 427, 26, 986?

You can find a detailed procedure to find GCD of 405, 427, 26, 986 on our page.

3. How to find GCD of 405, 427, 26, 986 on a calculator?

You can find the GCD of 405, 427, 26, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.