GCD of 462, 972, 466 Calculator

Given Input numbers are 462, 972, 466

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 462, 972, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 972, 466 is 2.

Therefore, GCD of numbers 462, 972, 466 is 2

Given Input Data is 462, 972, 466

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(462, 972) = 74844

GCD(462, 972) = ( 462 x 972 ) / 74844

GCD(462, 972) = 449064 / 74844

GCD(462, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 466

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

LCM(6, 466) = 1398

GCD(6, 466) = ( 6 x 466 ) / 1398

GCD(6, 466) = 2796 / 1398

GCD(6, 466) = 2

GCD of 462, 972, 466 is 2

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1. What is the GCD of 462, 972, 466?

GCD of 462, 972, 466 is 2

2. Where do I get the detailed procedure to find GCD of 462, 972, 466?

You can find a detailed procedure to find GCD of 462, 972, 466 on our page.

3. How to find GCD of 462, 972, 466 on a calculator?

You can find the GCD of 462, 972, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.