GCD of 362, 168, 512, 466 Calculator

Given Input numbers are 362, 168, 512, 466

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 466

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

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 362, 168, 512, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 168, 512, 466 is 2.

Therefore, GCD of numbers 362, 168, 512, 466 is 2

Given Input Data is 362, 168, 512, 466

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 466 is 2 x 233

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(362, 168) = 30408

GCD(362, 168) = ( 362 x 168 ) / 30408

GCD(362, 168) = 60816 / 30408

GCD(362, 168) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 362, 168, 512, 466 is 2

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1. What is the GCD of 362, 168, 512, 466?

GCD of 362, 168, 512, 466 is 2

2. Where do I get the detailed procedure to find GCD of 362, 168, 512, 466?

You can find a detailed procedure to find GCD of 362, 168, 512, 466 on our page.

3. How to find GCD of 362, 168, 512, 466 on a calculator?

You can find the GCD of 362, 168, 512, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.