GCD of 472, 652, 217, 414 Calculator

Given Input numbers are 472, 652, 217, 414

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

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 217

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

1, 7, 31, 217

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 472, 652, 217, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 652, 217, 414 is 1.

Therefore, GCD of numbers 472, 652, 217, 414 is 1

Given Input Data is 472, 652, 217, 414

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

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 217 is 7 x 31

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(472, 652) = 76936

GCD(472, 652) = ( 472 x 652 ) / 76936

GCD(472, 652) = 307744 / 76936

GCD(472, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 217

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

LCM(4, 217) = 868

GCD(4, 217) = ( 4 x 217 ) / 868

GCD(4, 217) = 868 / 868

GCD(4, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 472, 652, 217, 414 is 1

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1. What is the GCD of 472, 652, 217, 414?

GCD of 472, 652, 217, 414 is 1

2. Where do I get the detailed procedure to find GCD of 472, 652, 217, 414?

You can find a detailed procedure to find GCD of 472, 652, 217, 414 on our page.

3. How to find GCD of 472, 652, 217, 414 on a calculator?

You can find the GCD of 472, 652, 217, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.