GCD of 38, 857, 590, 896 Calculator

Given Input numbers are 38, 857, 590, 896

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 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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

Greatest Common Divisior

We found the divisors of 38, 857, 590, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 857, 590, 896 is 1.

Therefore, GCD of numbers 38, 857, 590, 896 is 1

Given Input Data is 38, 857, 590, 896

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 857 is 857

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 896 is 2 x 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(38, 857) = 32566

GCD(38, 857) = ( 38 x 857 ) / 32566

GCD(38, 857) = 32566 / 32566

GCD(38, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 38, 857, 590, 896 is 1

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• GCD of 35, 485, 805, 118
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1. What is the GCD of 38, 857, 590, 896?

GCD of 38, 857, 590, 896 is 1

2. Where do I get the detailed procedure to find GCD of 38, 857, 590, 896?

You can find a detailed procedure to find GCD of 38, 857, 590, 896 on our page.

3. How to find GCD of 38, 857, 590, 896 on a calculator?

You can find the GCD of 38, 857, 590, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.