GCD of 982, 299, 428, 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 982, 299, 428, 964 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 299, 428, 964 is 1

GCD(982, 299, 428, 964) = 1

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

GCD of

GCD of numbers 982, 299, 428, 964 is 1

GCD(982, 299, 428, 964) = 1

GCD of 982,299,428,964 Calculator

GCDof 982,299,428,964 is 1

Given Input numbers are 982, 299, 428, 964

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 982, 299, 428, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 299, 428, 964 is 1.

Therefore, GCD of numbers 982, 299, 428, 964 is 1

Finding GCD of 982, 299, 428, 964 using Prime Factorization

Given Input Data is 982, 299, 428, 964

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 299 is 13 x 23

Prime Factorization of 428 is 2 x 2 x 107

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 982, 299, 428, 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(982, 299) = 293618

GCD(982, 299) = ( 982 x 299 ) / 293618

GCD(982, 299) = 293618 / 293618

GCD(982, 299) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 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 982, 299, 428, 964 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 299, 428, 964

1. What is the GCD of 982, 299, 428, 964?

GCD of 982, 299, 428, 964 is 1


2. Where do I get the detailed procedure to find GCD of 982, 299, 428, 964?

You can find a detailed procedure to find GCD of 982, 299, 428, 964 on our page.


3. How to find GCD of 982, 299, 428, 964 on a calculator?

You can find the GCD of 982, 299, 428, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.