GCD of 596, 110, 90, 896 Calculator

Given Input numbers are 596, 110, 90, 896

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 596, 110, 90, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 110, 90, 896 is 2.

Therefore, GCD of numbers 596, 110, 90, 896 is 2

Given Input Data is 596, 110, 90, 896

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(596, 110) = 32780

GCD(596, 110) = ( 596 x 110 ) / 32780

GCD(596, 110) = 65560 / 32780

GCD(596, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

GCD of 596, 110, 90, 896 is 2

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1. What is the GCD of 596, 110, 90, 896?

GCD of 596, 110, 90, 896 is 2

2. Where do I get the detailed procedure to find GCD of 596, 110, 90, 896?

You can find a detailed procedure to find GCD of 596, 110, 90, 896 on our page.

3. How to find GCD of 596, 110, 90, 896 on a calculator?

You can find the GCD of 596, 110, 90, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.