GCD of 662, 382, 53, 441 Calculator

Given Input numbers are 662, 382, 53, 441

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

Divisors of 662

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

1, 2, 331, 662

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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

Greatest Common Divisior

We found the divisors of 662, 382, 53, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 382, 53, 441 is 1.

Therefore, GCD of numbers 662, 382, 53, 441 is 1

Given Input Data is 662, 382, 53, 441

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 382 is 2 x 191

Prime Factorization of 53 is 53

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

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(662, 382) = 126442

GCD(662, 382) = ( 662 x 382 ) / 126442

GCD(662, 382) = 252884 / 126442

GCD(662, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 662, 382, 53, 441 is 1

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1. What is the GCD of 662, 382, 53, 441?

GCD of 662, 382, 53, 441 is 1

2. Where do I get the detailed procedure to find GCD of 662, 382, 53, 441?

You can find a detailed procedure to find GCD of 662, 382, 53, 441 on our page.

3. How to find GCD of 662, 382, 53, 441 on a calculator?

You can find the GCD of 662, 382, 53, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.