GCD of 748, 283, 872 Calculator

Given Input numbers are 748, 283, 872

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

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

Divisors of 283

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

1, 283

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 748, 283, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 283, 872 is 1.

Therefore, GCD of numbers 748, 283, 872 is 1

Given Input Data is 748, 283, 872

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 283 is 283

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(748, 283) = 211684

GCD(748, 283) = ( 748 x 283 ) / 211684

GCD(748, 283) = 211684 / 211684

GCD(748, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 748, 283, 872 is 1

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1. What is the GCD of 748, 283, 872?

GCD of 748, 283, 872 is 1

2. Where do I get the detailed procedure to find GCD of 748, 283, 872?

You can find a detailed procedure to find GCD of 748, 283, 872 on our page.

3. How to find GCD of 748, 283, 872 on a calculator?

You can find the GCD of 748, 283, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.