GCD of 232, 644, 15, 814 Calculator

Given Input numbers are 232, 644, 15, 814

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 232, 644, 15, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 644, 15, 814 is 1.

Therefore, GCD of numbers 232, 644, 15, 814 is 1

Given Input Data is 232, 644, 15, 814

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 15 is 3 x 5

Prime Factorization of 814 is 2 x 11 x 37

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(232, 644) = 37352

GCD(232, 644) = ( 232 x 644 ) / 37352

GCD(232, 644) = 149408 / 37352

GCD(232, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 232, 644, 15, 814 is 1

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• GCD of 491, 137, 60, 572
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• GCD of 408, 380, 61, 684

1. What is the GCD of 232, 644, 15, 814?

GCD of 232, 644, 15, 814 is 1

2. Where do I get the detailed procedure to find GCD of 232, 644, 15, 814?

You can find a detailed procedure to find GCD of 232, 644, 15, 814 on our page.

3. How to find GCD of 232, 644, 15, 814 on a calculator?

You can find the GCD of 232, 644, 15, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.