GCD of 466, 518, 30, 926 Calculator

Given Input numbers are 466, 518, 30, 926

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 466, 518, 30, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 518, 30, 926 is 2.

Therefore, GCD of numbers 466, 518, 30, 926 is 2

Given Input Data is 466, 518, 30, 926

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 926 is 2 x 463

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(466, 518) = 120694

GCD(466, 518) = ( 466 x 518 ) / 120694

GCD(466, 518) = 241388 / 120694

GCD(466, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

GCD of 466, 518, 30, 926 is 2

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1. What is the GCD of 466, 518, 30, 926?

GCD of 466, 518, 30, 926 is 2

2. Where do I get the detailed procedure to find GCD of 466, 518, 30, 926?

You can find a detailed procedure to find GCD of 466, 518, 30, 926 on our page.

3. How to find GCD of 466, 518, 30, 926 on a calculator?

You can find the GCD of 466, 518, 30, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.