GCD of 732, 314, 483, 866 Calculator

Given Input numbers are 732, 314, 483, 866

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 732, 314, 483, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 314, 483, 866 is 1.

Therefore, GCD of numbers 732, 314, 483, 866 is 1

Given Input Data is 732, 314, 483, 866

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 314 is 2 x 157

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 866 is 2 x 433

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(732, 314) = 114924

GCD(732, 314) = ( 732 x 314 ) / 114924

GCD(732, 314) = 229848 / 114924

GCD(732, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 483

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

LCM(2, 483) = 966

GCD(2, 483) = ( 2 x 483 ) / 966

GCD(2, 483) = 966 / 966

GCD(2, 483) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

GCD of 732, 314, 483, 866 is 1

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1. What is the GCD of 732, 314, 483, 866?

GCD of 732, 314, 483, 866 is 1

2. Where do I get the detailed procedure to find GCD of 732, 314, 483, 866?

You can find a detailed procedure to find GCD of 732, 314, 483, 866 on our page.

3. How to find GCD of 732, 314, 483, 866 on a calculator?

You can find the GCD of 732, 314, 483, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.