GCD of 518, 492, 540, 946 Calculator

Given Input numbers are 518, 492, 540, 946

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 518, 492, 540, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 492, 540, 946 is 2.

Therefore, GCD of numbers 518, 492, 540, 946 is 2

Given Input Data is 518, 492, 540, 946

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 946 is 2 x 11 x 43

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(518, 492) = 127428

GCD(518, 492) = ( 518 x 492 ) / 127428

GCD(518, 492) = 254856 / 127428

GCD(518, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 518, 492, 540, 946 is 2

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1. What is the GCD of 518, 492, 540, 946?

GCD of 518, 492, 540, 946 is 2

2. Where do I get the detailed procedure to find GCD of 518, 492, 540, 946?

You can find a detailed procedure to find GCD of 518, 492, 540, 946 on our page.

3. How to find GCD of 518, 492, 540, 946 on a calculator?

You can find the GCD of 518, 492, 540, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.