GCD of 364, 534, 33, 982 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 364, 534, 33, 982 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 534, 33, 982 is 1

GCD(364, 534, 33, 982) = 1

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

GCD of

GCD of numbers 364, 534, 33, 982 is 1

GCD(364, 534, 33, 982) = 1

GCD of 364,534,33,982 Calculator

GCDof 364,534,33,982 is 1

Given Input numbers are 364, 534, 33, 982

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 364, 534, 33, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 534, 33, 982 is 1.

Therefore, GCD of numbers 364, 534, 33, 982 is 1

Finding GCD of 364, 534, 33, 982 using Prime Factorization

Given Input Data is 364, 534, 33, 982

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 33 is 3 x 11

Prime Factorization of 982 is 2 x 491

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

Finding GCD of 364, 534, 33, 982 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(364, 534) = 97188

GCD(364, 534) = ( 364 x 534 ) / 97188

GCD(364, 534) = 194376 / 97188

GCD(364, 534) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 364, 534, 33, 982 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 534, 33, 982

1. What is the GCD of 364, 534, 33, 982?

GCD of 364, 534, 33, 982 is 1


2. Where do I get the detailed procedure to find GCD of 364, 534, 33, 982?

You can find a detailed procedure to find GCD of 364, 534, 33, 982 on our page.


3. How to find GCD of 364, 534, 33, 982 on a calculator?

You can find the GCD of 364, 534, 33, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.