GCD of 896, 844, 42, 597 Calculator

Given Input numbers are 896, 844, 42, 597

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

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 896, 844, 42, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 844, 42, 597 is 1.

Therefore, GCD of numbers 896, 844, 42, 597 is 1

Given Input Data is 896, 844, 42, 597

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

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 597 is 3 x 199

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(896, 844) = 189056

GCD(896, 844) = ( 896 x 844 ) / 189056

GCD(896, 844) = 756224 / 189056

GCD(896, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 597

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

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

GCD(2, 597) = 1194 / 1194

GCD(2, 597) = 1

GCD of 896, 844, 42, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 200, 26, 832
• GCD of 431, 517, 71, 360
• GCD of 800, 160, 71, 140
• GCD of 236, 268, 40, 618
• GCD of 485, 134, 80, 766

1. What is the GCD of 896, 844, 42, 597?

GCD of 896, 844, 42, 597 is 1

2. Where do I get the detailed procedure to find GCD of 896, 844, 42, 597?

You can find a detailed procedure to find GCD of 896, 844, 42, 597 on our page.

3. How to find GCD of 896, 844, 42, 597 on a calculator?

You can find the GCD of 896, 844, 42, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.