GCD of 282, 817, 748 Calculator

Given Input numbers are 282, 817, 748

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 282, 817, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 817, 748 is 1.

Therefore, GCD of numbers 282, 817, 748 is 1

Given Input Data is 282, 817, 748

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 817 is 19 x 43

Prime Factorization of 748 is 2 x 2 x 11 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(282, 817) = 230394

GCD(282, 817) = ( 282 x 817 ) / 230394

GCD(282, 817) = 230394 / 230394

GCD(282, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 282, 817, 748 is 1

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1. What is the GCD of 282, 817, 748?

GCD of 282, 817, 748 is 1

2. Where do I get the detailed procedure to find GCD of 282, 817, 748?

You can find a detailed procedure to find GCD of 282, 817, 748 on our page.

3. How to find GCD of 282, 817, 748 on a calculator?

You can find the GCD of 282, 817, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.