GCD of 890, 476, 96, 566 Calculator

Given Input numbers are 890, 476, 96, 566

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 890, 476, 96, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 476, 96, 566 is 2.

Therefore, GCD of numbers 890, 476, 96, 566 is 2

Given Input Data is 890, 476, 96, 566

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 566 is 2 x 283

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(890, 476) = 211820

GCD(890, 476) = ( 890 x 476 ) / 211820

GCD(890, 476) = 423640 / 211820

GCD(890, 476) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

GCD of 890, 476, 96, 566 is 2

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1. What is the GCD of 890, 476, 96, 566?

GCD of 890, 476, 96, 566 is 2

2. Where do I get the detailed procedure to find GCD of 890, 476, 96, 566?

You can find a detailed procedure to find GCD of 890, 476, 96, 566 on our page.

3. How to find GCD of 890, 476, 96, 566 on a calculator?

You can find the GCD of 890, 476, 96, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.