GCD of 38, 896, 649, 855 Calculator

Given Input numbers are 38, 896, 649, 855

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 38, 896, 649, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 896, 649, 855 is 1.

Therefore, GCD of numbers 38, 896, 649, 855 is 1

Given Input Data is 38, 896, 649, 855

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 649 is 11 x 59

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(38, 896) = 17024

GCD(38, 896) = ( 38 x 896 ) / 17024

GCD(38, 896) = 34048 / 17024

GCD(38, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 38, 896, 649, 855 is 1

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1. What is the GCD of 38, 896, 649, 855?

GCD of 38, 896, 649, 855 is 1

2. Where do I get the detailed procedure to find GCD of 38, 896, 649, 855?

You can find a detailed procedure to find GCD of 38, 896, 649, 855 on our page.

3. How to find GCD of 38, 896, 649, 855 on a calculator?

You can find the GCD of 38, 896, 649, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.