GCD of 16, 308, 707, 964 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 16, 308, 707, 964 i.e. 1 largest integer that divides all the numbers equally.

GCD of 16, 308, 707, 964 is 1

GCD(16, 308, 707, 964) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 16, 308, 707, 964 is 1

GCD(16, 308, 707, 964) = 1

GCD of 16,308,707,964 Calculator

GCDof 16,308,707,964 is 1

Given Input numbers are 16, 308, 707, 964

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 16, 308, 707, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 308, 707, 964 is 1.

Therefore, GCD of numbers 16, 308, 707, 964 is 1

Finding GCD of 16, 308, 707, 964 using Prime Factorization

Given Input Data is 16, 308, 707, 964

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 707 is 7 x 101

Prime Factorization of 964 is 2 x 2 x 241

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 16, 308, 707, 964 using LCM Formula

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(16, 308) = 1232

GCD(16, 308) = ( 16 x 308 ) / 1232

GCD(16, 308) = 4928 / 1232

GCD(16, 308) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 707

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

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

GCD(4, 707) = 2828 / 2828

GCD(4, 707) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 16, 308, 707, 964 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 16, 308, 707, 964

1. What is the GCD of 16, 308, 707, 964?

GCD of 16, 308, 707, 964 is 1


2. Where do I get the detailed procedure to find GCD of 16, 308, 707, 964?

You can find a detailed procedure to find GCD of 16, 308, 707, 964 on our page.


3. How to find GCD of 16, 308, 707, 964 on a calculator?

You can find the GCD of 16, 308, 707, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.