GCD of 114, 226, 675, 405 Calculator

Given Input numbers are 114, 226, 675, 405

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

Greatest Common Divisior

We found the divisors of 114, 226, 675, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 226, 675, 405 is 1.

Therefore, GCD of numbers 114, 226, 675, 405 is 1

Given Input Data is 114, 226, 675, 405

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 226 is 2 x 113

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

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(114, 226) = 12882

GCD(114, 226) = ( 114 x 226 ) / 12882

GCD(114, 226) = 25764 / 12882

GCD(114, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 114, 226, 675, 405 is 1

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• GCD of 518, 580, 398, 544
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• GCD of 676, 584, 920, 455

1. What is the GCD of 114, 226, 675, 405?

GCD of 114, 226, 675, 405 is 1

2. Where do I get the detailed procedure to find GCD of 114, 226, 675, 405?

You can find a detailed procedure to find GCD of 114, 226, 675, 405 on our page.

3. How to find GCD of 114, 226, 675, 405 on a calculator?

You can find the GCD of 114, 226, 675, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.