GCD of 72, 752, 419, 884 Calculator

Given Input numbers are 72, 752, 419, 884

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

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 72, 752, 419, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 752, 419, 884 is 1.

Therefore, GCD of numbers 72, 752, 419, 884 is 1

Given Input Data is 72, 752, 419, 884

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

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 419 is 419

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(72, 752) = 6768

GCD(72, 752) = ( 72 x 752 ) / 6768

GCD(72, 752) = 54144 / 6768

GCD(72, 752) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 419

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

LCM(8, 419) = 3352

GCD(8, 419) = ( 8 x 419 ) / 3352

GCD(8, 419) = 3352 / 3352

GCD(8, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 72, 752, 419, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 257, 598, 968
• GCD of 22, 491, 737, 293
• GCD of 64, 185, 318, 174
• GCD of 88, 589, 723, 141
• GCD of 96, 930, 538, 704

1. What is the GCD of 72, 752, 419, 884?

GCD of 72, 752, 419, 884 is 1

2. Where do I get the detailed procedure to find GCD of 72, 752, 419, 884?

You can find a detailed procedure to find GCD of 72, 752, 419, 884 on our page.

3. How to find GCD of 72, 752, 419, 884 on a calculator?

You can find the GCD of 72, 752, 419, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.