GCD of 229, 936, 45, 108 Calculator

Given Input numbers are 229, 936, 45, 108

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 229, 936, 45, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 936, 45, 108 is 1.

Therefore, GCD of numbers 229, 936, 45, 108 is 1

Given Input Data is 229, 936, 45, 108

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

Prime Factorization of 229 is 229

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 108 is 2 x 2 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(229, 936) = 214344

GCD(229, 936) = ( 229 x 936 ) / 214344

GCD(229, 936) = 214344 / 214344

GCD(229, 936) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 229, 936, 45, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 863, 70, 362
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• GCD of 116, 879, 87, 368
• GCD of 437, 759, 61, 128

1. What is the GCD of 229, 936, 45, 108?

GCD of 229, 936, 45, 108 is 1

2. Where do I get the detailed procedure to find GCD of 229, 936, 45, 108?

You can find a detailed procedure to find GCD of 229, 936, 45, 108 on our page.

3. How to find GCD of 229, 936, 45, 108 on a calculator?

You can find the GCD of 229, 936, 45, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.