GCD of 72, 456, 801, 796 Calculator

Given Input numbers are 72, 456, 801, 796

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 72, 456, 801, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 456, 801, 796 is 1.

Therefore, GCD of numbers 72, 456, 801, 796 is 1

Given Input Data is 72, 456, 801, 796

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 796 is 2 x 2 x 199

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, 456) = 1368

GCD(72, 456) = ( 72 x 456 ) / 1368

GCD(72, 456) = 32832 / 1368

GCD(72, 456) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 801

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

LCM(24, 801) = 6408

GCD(24, 801) = ( 24 x 801 ) / 6408

GCD(24, 801) = 19224 / 6408

GCD(24, 801) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 796

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

LCM(3, 796) = 2388

GCD(3, 796) = ( 3 x 796 ) / 2388

GCD(3, 796) = 2388 / 2388

GCD(3, 796) = 1

GCD of 72, 456, 801, 796 is 1

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• GCD of 95, 716, 602, 697
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1. What is the GCD of 72, 456, 801, 796?

GCD of 72, 456, 801, 796 is 1

2. Where do I get the detailed procedure to find GCD of 72, 456, 801, 796?

You can find a detailed procedure to find GCD of 72, 456, 801, 796 on our page.

3. How to find GCD of 72, 456, 801, 796 on a calculator?

You can find the GCD of 72, 456, 801, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.