GCD of 232, 706, 65, 644 Calculator

Given Input numbers are 232, 706, 65, 644

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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

Greatest Common Divisior

We found the divisors of 232, 706, 65, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 706, 65, 644 is 1.

Therefore, GCD of numbers 232, 706, 65, 644 is 1

Given Input Data is 232, 706, 65, 644

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 706 is 2 x 353

Prime Factorization of 65 is 5 x 13

Prime Factorization of 644 is 2 x 2 x 7 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(232, 706) = 81896

GCD(232, 706) = ( 232 x 706 ) / 81896

GCD(232, 706) = 163792 / 81896

GCD(232, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 232, 706, 65, 644 is 1

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1. What is the GCD of 232, 706, 65, 644?

GCD of 232, 706, 65, 644 is 1

2. Where do I get the detailed procedure to find GCD of 232, 706, 65, 644?

You can find a detailed procedure to find GCD of 232, 706, 65, 644 on our page.

3. How to find GCD of 232, 706, 65, 644 on a calculator?

You can find the GCD of 232, 706, 65, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.