GCD of 461, 821, 47, 663 Calculator

Given Input numbers are 461, 821, 47, 663

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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 461, 821, 47, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 821, 47, 663 is 1.

Therefore, GCD of numbers 461, 821, 47, 663 is 1

Given Input Data is 461, 821, 47, 663

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

Prime Factorization of 461 is 461

Prime Factorization of 821 is 821

Prime Factorization of 47 is 47

Prime Factorization of 663 is 3 x 13 x 17

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, 821) = 378481

GCD(461, 821) = ( 461 x 821 ) / 378481

GCD(461, 821) = 378481 / 378481

GCD(461, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 461, 821, 47, 663 is 1

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1. What is the GCD of 461, 821, 47, 663?

GCD of 461, 821, 47, 663 is 1

2. Where do I get the detailed procedure to find GCD of 461, 821, 47, 663?

You can find a detailed procedure to find GCD of 461, 821, 47, 663 on our page.

3. How to find GCD of 461, 821, 47, 663 on a calculator?

You can find the GCD of 461, 821, 47, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.