GCD of 381, 223, 748 Calculator

Given Input numbers are 381, 223, 748

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

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 381, 223, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 223, 748 is 1.

Therefore, GCD of numbers 381, 223, 748 is 1

Given Input Data is 381, 223, 748

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 223 is 223

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(381, 223) = 84963

GCD(381, 223) = ( 381 x 223 ) / 84963

GCD(381, 223) = 84963 / 84963

GCD(381, 223) = 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 381, 223, 748 is 1

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1. What is the GCD of 381, 223, 748?

GCD of 381, 223, 748 is 1

2. Where do I get the detailed procedure to find GCD of 381, 223, 748?

You can find a detailed procedure to find GCD of 381, 223, 748 on our page.

3. How to find GCD of 381, 223, 748 on a calculator?

You can find the GCD of 381, 223, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.