GCD of 722, 283, 72 Calculator

Given Input numbers are 722, 283, 72

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

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

Greatest Common Divisior

We found the divisors of 722, 283, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 283, 72 is 1.

Therefore, GCD of numbers 722, 283, 72 is 1

Given Input Data is 722, 283, 72

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 283 is 283

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

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(722, 283) = 204326

GCD(722, 283) = ( 722 x 283 ) / 204326

GCD(722, 283) = 204326 / 204326

GCD(722, 283) = 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

GCD of 722, 283, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 308, 56
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• GCD of 587, 534, 96
• GCD of 258, 135, 79

1. What is the GCD of 722, 283, 72?

GCD of 722, 283, 72 is 1

2. Where do I get the detailed procedure to find GCD of 722, 283, 72?

You can find a detailed procedure to find GCD of 722, 283, 72 on our page.

3. How to find GCD of 722, 283, 72 on a calculator?

You can find the GCD of 722, 283, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.