GCD of 984, 606, 896, 918 Calculator

Given Input numbers are 984, 606, 896, 918

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 984, 606, 896, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 606, 896, 918 is 2.

Therefore, GCD of numbers 984, 606, 896, 918 is 2

Given Input Data is 984, 606, 896, 918

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 606 is 2 x 3 x 101

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(984, 606) = 99384

GCD(984, 606) = ( 984 x 606 ) / 99384

GCD(984, 606) = 596304 / 99384

GCD(984, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 896

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

LCM(6, 896) = 2688

GCD(6, 896) = ( 6 x 896 ) / 2688

GCD(6, 896) = 5376 / 2688

GCD(6, 896) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 984, 606, 896, 918 is 2

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1. What is the GCD of 984, 606, 896, 918?

GCD of 984, 606, 896, 918 is 2

2. Where do I get the detailed procedure to find GCD of 984, 606, 896, 918?

You can find a detailed procedure to find GCD of 984, 606, 896, 918 on our page.

3. How to find GCD of 984, 606, 896, 918 on a calculator?

You can find the GCD of 984, 606, 896, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.