GCD of 221, 252, 51, 471 Calculator

Given Input numbers are 221, 252, 51, 471

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 221, 252, 51, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 252, 51, 471 is 1.

Therefore, GCD of numbers 221, 252, 51, 471 is 1

Given Input Data is 221, 252, 51, 471

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 51 is 3 x 17

Prime Factorization of 471 is 3 x 157

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(221, 252) = 55692

GCD(221, 252) = ( 221 x 252 ) / 55692

GCD(221, 252) = 55692 / 55692

GCD(221, 252) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 221, 252, 51, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 173, 18, 236
• GCD of 798, 136, 24, 839
• GCD of 295, 738, 94, 709
• GCD of 310, 654, 19, 140
• GCD of 151, 551, 28, 714

1. What is the GCD of 221, 252, 51, 471?

GCD of 221, 252, 51, 471 is 1

2. Where do I get the detailed procedure to find GCD of 221, 252, 51, 471?

You can find a detailed procedure to find GCD of 221, 252, 51, 471 on our page.

3. How to find GCD of 221, 252, 51, 471 on a calculator?

You can find the GCD of 221, 252, 51, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.