GCD of 215, 748, 448 Calculator

Given Input numbers are 215, 748, 448

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 215, 748, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 748, 448 is 1.

Therefore, GCD of numbers 215, 748, 448 is 1

Given Input Data is 215, 748, 448

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

Prime Factorization of 215 is 5 x 43

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(215, 748) = 160820

GCD(215, 748) = ( 215 x 748 ) / 160820

GCD(215, 748) = 160820 / 160820

GCD(215, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 215, 748, 448 is 1

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1. What is the GCD of 215, 748, 448?

GCD of 215, 748, 448 is 1

2. Where do I get the detailed procedure to find GCD of 215, 748, 448?

You can find a detailed procedure to find GCD of 215, 748, 448 on our page.

3. How to find GCD of 215, 748, 448 on a calculator?

You can find the GCD of 215, 748, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.