GCD of 449, 531, 72, 126 Calculator

Given Input numbers are 449, 531, 72, 126

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 449, 531, 72, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 531, 72, 126 is 1.

Therefore, GCD of numbers 449, 531, 72, 126 is 1

Given Input Data is 449, 531, 72, 126

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

Prime Factorization of 449 is 449

Prime Factorization of 531 is 3 x 3 x 59

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

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(449, 531) = 238419

GCD(449, 531) = ( 449 x 531 ) / 238419

GCD(449, 531) = 238419 / 238419

GCD(449, 531) = 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 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 449, 531, 72, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 692, 22, 733
• GCD of 950, 879, 45, 677
• GCD of 124, 336, 55, 689
• GCD of 470, 900, 22, 677
• GCD of 262, 118, 19, 371

1. What is the GCD of 449, 531, 72, 126?

GCD of 449, 531, 72, 126 is 1

2. Where do I get the detailed procedure to find GCD of 449, 531, 72, 126?

You can find a detailed procedure to find GCD of 449, 531, 72, 126 on our page.

3. How to find GCD of 449, 531, 72, 126 on a calculator?

You can find the GCD of 449, 531, 72, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.