GCD of 462, 662, 385, 214 Calculator

Given Input numbers are 462, 662, 385, 214

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 462, 662, 385, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 662, 385, 214 is 1.

Therefore, GCD of numbers 462, 662, 385, 214 is 1

Given Input Data is 462, 662, 385, 214

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 662 is 2 x 331

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 214 is 2 x 107

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, 662) = 152922

GCD(462, 662) = ( 462 x 662 ) / 152922

GCD(462, 662) = 305844 / 152922

GCD(462, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 385

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

LCM(2, 385) = 770

GCD(2, 385) = ( 2 x 385 ) / 770

GCD(2, 385) = 770 / 770

GCD(2, 385) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 462, 662, 385, 214 is 1

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1. What is the GCD of 462, 662, 385, 214?

GCD of 462, 662, 385, 214 is 1

2. Where do I get the detailed procedure to find GCD of 462, 662, 385, 214?

You can find a detailed procedure to find GCD of 462, 662, 385, 214 on our page.

3. How to find GCD of 462, 662, 385, 214 on a calculator?

You can find the GCD of 462, 662, 385, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.