GCD of 461, 329, 44, 214 Calculator

Given Input numbers are 461, 329, 44, 214

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 461, 329, 44, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 329, 44, 214 is 1.

Therefore, GCD of numbers 461, 329, 44, 214 is 1

Given Input Data is 461, 329, 44, 214

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

Prime Factorization of 461 is 461

Prime Factorization of 329 is 7 x 47

Prime Factorization of 44 is 2 x 2 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(461, 329) = 151669

GCD(461, 329) = ( 461 x 329 ) / 151669

GCD(461, 329) = 151669 / 151669

GCD(461, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 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 461, 329, 44, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 539, 82, 683
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• GCD of 175, 722, 22, 205
• GCD of 247, 540, 38, 238

1. What is the GCD of 461, 329, 44, 214?

GCD of 461, 329, 44, 214 is 1

2. Where do I get the detailed procedure to find GCD of 461, 329, 44, 214?

You can find a detailed procedure to find GCD of 461, 329, 44, 214 on our page.

3. How to find GCD of 461, 329, 44, 214 on a calculator?

You can find the GCD of 461, 329, 44, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.