GCD of 732, 441, 217, 214 Calculator

Given Input numbers are 732, 441, 217, 214

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 732, 441, 217, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 441, 217, 214 is 1.

Therefore, GCD of numbers 732, 441, 217, 214 is 1

Given Input Data is 732, 441, 217, 214

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 217 is 7 x 31

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(732, 441) = 107604

GCD(732, 441) = ( 732 x 441 ) / 107604

GCD(732, 441) = 322812 / 107604

GCD(732, 441) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 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 732, 441, 217, 214 is 1

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1. What is the GCD of 732, 441, 217, 214?

GCD of 732, 441, 217, 214 is 1

2. Where do I get the detailed procedure to find GCD of 732, 441, 217, 214?

You can find a detailed procedure to find GCD of 732, 441, 217, 214 on our page.

3. How to find GCD of 732, 441, 217, 214 on a calculator?

You can find the GCD of 732, 441, 217, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.