GCD of 630, 472, 41, 217 Calculator

Given Input numbers are 630, 472, 41, 217

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 630, 472, 41, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 472, 41, 217 is 1.

Therefore, GCD of numbers 630, 472, 41, 217 is 1

Given Input Data is 630, 472, 41, 217

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 41 is 41

Prime Factorization of 217 is 7 x 31

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(630, 472) = 148680

GCD(630, 472) = ( 630 x 472 ) / 148680

GCD(630, 472) = 297360 / 148680

GCD(630, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 630, 472, 41, 217 is 1

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1. What is the GCD of 630, 472, 41, 217?

GCD of 630, 472, 41, 217 is 1

2. Where do I get the detailed procedure to find GCD of 630, 472, 41, 217?

You can find a detailed procedure to find GCD of 630, 472, 41, 217 on our page.

3. How to find GCD of 630, 472, 41, 217 on a calculator?

You can find the GCD of 630, 472, 41, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.