GCD of 124, 512, 72, 361 Calculator

Given Input numbers are 124, 512, 72, 361

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 124, 512, 72, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 512, 72, 361 is 1.

Therefore, GCD of numbers 124, 512, 72, 361 is 1

Given Input Data is 124, 512, 72, 361

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 361 is 19 x 19

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(124, 512) = 15872

GCD(124, 512) = ( 124 x 512 ) / 15872

GCD(124, 512) = 63488 / 15872

GCD(124, 512) = 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 361

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

LCM(4, 361) = 1444

GCD(4, 361) = ( 4 x 361 ) / 1444

GCD(4, 361) = 1444 / 1444

GCD(4, 361) = 1

GCD of 124, 512, 72, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 571, 19, 745
• GCD of 289, 817, 20, 757
• GCD of 882, 361, 40, 866
• GCD of 842, 990, 21, 773
• GCD of 851, 613, 22, 277

1. What is the GCD of 124, 512, 72, 361?

GCD of 124, 512, 72, 361 is 1

2. Where do I get the detailed procedure to find GCD of 124, 512, 72, 361?

You can find a detailed procedure to find GCD of 124, 512, 72, 361 on our page.

3. How to find GCD of 124, 512, 72, 361 on a calculator?

You can find the GCD of 124, 512, 72, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.