GCD of 723, 318, 32, 971 Calculator

Given Input numbers are 723, 318, 32, 971

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 723, 318, 32, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 318, 32, 971 is 1.

Therefore, GCD of numbers 723, 318, 32, 971 is 1

Given Input Data is 723, 318, 32, 971

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 971 is 971

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(723, 318) = 76638

GCD(723, 318) = ( 723 x 318 ) / 76638

GCD(723, 318) = 229914 / 76638

GCD(723, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 32

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

LCM(3, 32) = 96

GCD(3, 32) = ( 3 x 32 ) / 96

GCD(3, 32) = 96 / 96

GCD(3, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 723, 318, 32, 971 is 1

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1. What is the GCD of 723, 318, 32, 971?

GCD of 723, 318, 32, 971 is 1

2. Where do I get the detailed procedure to find GCD of 723, 318, 32, 971?

You can find a detailed procedure to find GCD of 723, 318, 32, 971 on our page.

3. How to find GCD of 723, 318, 32, 971 on a calculator?

You can find the GCD of 723, 318, 32, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.