GCD of 264, 100, 72, 229 Calculator

Given Input numbers are 264, 100, 72, 229

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 229

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

1, 229

Greatest Common Divisior

We found the divisors of 264, 100, 72, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 100, 72, 229 is 1.

Therefore, GCD of numbers 264, 100, 72, 229 is 1

Given Input Data is 264, 100, 72, 229

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Prime Factorization of 229 is 229

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(264, 100) = 6600

GCD(264, 100) = ( 264 x 100 ) / 6600

GCD(264, 100) = 26400 / 6600

GCD(264, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 229

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

LCM(4, 229) = 916

GCD(4, 229) = ( 4 x 229 ) / 916

GCD(4, 229) = 916 / 916

GCD(4, 229) = 1

GCD of 264, 100, 72, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 598, 54, 678
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1. What is the GCD of 264, 100, 72, 229?

GCD of 264, 100, 72, 229 is 1

2. Where do I get the detailed procedure to find GCD of 264, 100, 72, 229?

You can find a detailed procedure to find GCD of 264, 100, 72, 229 on our page.

3. How to find GCD of 264, 100, 72, 229 on a calculator?

You can find the GCD of 264, 100, 72, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.