GCD of 462, 978, 401, 216 Calculator

Given Input numbers are 462, 978, 401, 216

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 462, 978, 401, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 978, 401, 216 is 1.

Therefore, GCD of numbers 462, 978, 401, 216 is 1

Given Input Data is 462, 978, 401, 216

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 978 is 2 x 3 x 163

Prime Factorization of 401 is 401

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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, 978) = 75306

GCD(462, 978) = ( 462 x 978 ) / 75306

GCD(462, 978) = 451836 / 75306

GCD(462, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 401

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

LCM(6, 401) = 2406

GCD(6, 401) = ( 6 x 401 ) / 2406

GCD(6, 401) = 2406 / 2406

GCD(6, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 462, 978, 401, 216 is 1

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1. What is the GCD of 462, 978, 401, 216?

GCD of 462, 978, 401, 216 is 1

2. Where do I get the detailed procedure to find GCD of 462, 978, 401, 216?

You can find a detailed procedure to find GCD of 462, 978, 401, 216 on our page.

3. How to find GCD of 462, 978, 401, 216 on a calculator?

You can find the GCD of 462, 978, 401, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.