GCD of 516, 896, 992, 918 Calculator

Given Input numbers are 516, 896, 992, 918

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 516, 896, 992, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 896, 992, 918 is 2.

Therefore, GCD of numbers 516, 896, 992, 918 is 2

Given Input Data is 516, 896, 992, 918

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(516, 896) = 115584

GCD(516, 896) = ( 516 x 896 ) / 115584

GCD(516, 896) = 462336 / 115584

GCD(516, 896) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 992

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

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

GCD(4, 992) = 3968 / 992

GCD(4, 992) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 918

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

LCM(4, 918) = 1836

GCD(4, 918) = ( 4 x 918 ) / 1836

GCD(4, 918) = 3672 / 1836

GCD(4, 918) = 2

GCD of 516, 896, 992, 918 is 2

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1. What is the GCD of 516, 896, 992, 918?

GCD of 516, 896, 992, 918 is 2

2. Where do I get the detailed procedure to find GCD of 516, 896, 992, 918?

You can find a detailed procedure to find GCD of 516, 896, 992, 918 on our page.

3. How to find GCD of 516, 896, 992, 918 on a calculator?

You can find the GCD of 516, 896, 992, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.