GCD of 905, 924, 72, 226 Calculator

Given Input numbers are 905, 924, 72, 226

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 905, 924, 72, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 924, 72, 226 is 1.

Therefore, GCD of numbers 905, 924, 72, 226 is 1

Given Input Data is 905, 924, 72, 226

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 226 is 2 x 113

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(905, 924) = 836220

GCD(905, 924) = ( 905 x 924 ) / 836220

GCD(905, 924) = 836220 / 836220

GCD(905, 924) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 905, 924, 72, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 105, 89, 970
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• GCD of 220, 202, 69, 494
• GCD of 261, 801, 57, 307

1. What is the GCD of 905, 924, 72, 226?

GCD of 905, 924, 72, 226 is 1

2. Where do I get the detailed procedure to find GCD of 905, 924, 72, 226?

You can find a detailed procedure to find GCD of 905, 924, 72, 226 on our page.

3. How to find GCD of 905, 924, 72, 226 on a calculator?

You can find the GCD of 905, 924, 72, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.