GCD of 106, 537, 99, 332 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 106, 537, 99, 332 i.e. 1 largest integer that divides all the numbers equally.

GCD of 106, 537, 99, 332 is 1

GCD(106, 537, 99, 332) = 1

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

GCD of

GCD of numbers 106, 537, 99, 332 is 1

GCD(106, 537, 99, 332) = 1

GCD of 106,537,99,332 Calculator

GCDof 106,537,99,332 is 1

Given Input numbers are 106, 537, 99, 332

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 106, 537, 99, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 537, 99, 332 is 1.

Therefore, GCD of numbers 106, 537, 99, 332 is 1

Finding GCD of 106, 537, 99, 332 using Prime Factorization

Given Input Data is 106, 537, 99, 332

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 537 is 3 x 179

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 332 is 2 x 2 x 83

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

Finding GCD of 106, 537, 99, 332 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(106, 537) = 56922

GCD(106, 537) = ( 106 x 537 ) / 56922

GCD(106, 537) = 56922 / 56922

GCD(106, 537) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 106, 537, 99, 332 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 106, 537, 99, 332

1. What is the GCD of 106, 537, 99, 332?

GCD of 106, 537, 99, 332 is 1


2. Where do I get the detailed procedure to find GCD of 106, 537, 99, 332?

You can find a detailed procedure to find GCD of 106, 537, 99, 332 on our page.


3. How to find GCD of 106, 537, 99, 332 on a calculator?

You can find the GCD of 106, 537, 99, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.