GCD of 964, 972, 15, 129 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 964, 972, 15, 129 i.e. 1 largest integer that divides all the numbers equally.

GCD of 964, 972, 15, 129 is 1

GCD(964, 972, 15, 129) = 1

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

GCD of

GCD of numbers 964, 972, 15, 129 is 1

GCD(964, 972, 15, 129) = 1

GCD of 964,972,15,129 Calculator

GCDof 964,972,15,129 is 1

Given Input numbers are 964, 972, 15, 129

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

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 15

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

1, 3, 5, 15

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 964, 972, 15, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 972, 15, 129 is 1.

Therefore, GCD of numbers 964, 972, 15, 129 is 1

Finding GCD of 964, 972, 15, 129 using Prime Factorization

Given Input Data is 964, 972, 15, 129

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 15 is 3 x 5

Prime Factorization of 129 is 3 x 43

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

Finding GCD of 964, 972, 15, 129 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(964, 972) = 234252

GCD(964, 972) = ( 964 x 972 ) / 234252

GCD(964, 972) = 937008 / 234252

GCD(964, 972) = 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 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 964, 972, 15, 129 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 964, 972, 15, 129

1. What is the GCD of 964, 972, 15, 129?

GCD of 964, 972, 15, 129 is 1


2. Where do I get the detailed procedure to find GCD of 964, 972, 15, 129?

You can find a detailed procedure to find GCD of 964, 972, 15, 129 on our page.


3. How to find GCD of 964, 972, 15, 129 on a calculator?

You can find the GCD of 964, 972, 15, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.