GCD of 663, 268, 53, 401 Calculator

Given Input numbers are 663, 268, 53, 401

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

Divisors of 663

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

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 53

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

1, 53

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 663, 268, 53, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 268, 53, 401 is 1.

Therefore, GCD of numbers 663, 268, 53, 401 is 1

Given Input Data is 663, 268, 53, 401

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 53 is 53

Prime Factorization of 401 is 401

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(663, 268) = 177684

GCD(663, 268) = ( 663 x 268 ) / 177684

GCD(663, 268) = 177684 / 177684

GCD(663, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 663, 268, 53, 401 is 1

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1. What is the GCD of 663, 268, 53, 401?

GCD of 663, 268, 53, 401 is 1

2. Where do I get the detailed procedure to find GCD of 663, 268, 53, 401?

You can find a detailed procedure to find GCD of 663, 268, 53, 401 on our page.

3. How to find GCD of 663, 268, 53, 401 on a calculator?

You can find the GCD of 663, 268, 53, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.