GCD of 73, 83, 68, 10 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 73, 83, 68, 10 i.e. 1 largest integer that divides all the numbers equally.

GCD of 73, 83, 68, 10 is 1

GCD(73, 83, 68, 10) = 1

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

GCD of

GCD of numbers 73, 83, 68, 10 is 1

GCD(73, 83, 68, 10) = 1

GCD of 73,83,68,10 Calculator

GCDof 73,83,68,10 is 1

Given Input numbers are 73, 83, 68, 10

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 73, 83, 68, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 83, 68, 10 is 1.

Therefore, GCD of numbers 73, 83, 68, 10 is 1

Finding GCD of 73, 83, 68, 10 using Prime Factorization

Given Input Data is 73, 83, 68, 10

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

Prime Factorization of 73 is 73

Prime Factorization of 83 is 83

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 10 is 2 x 5

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

Finding GCD of 73, 83, 68, 10 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(73, 83) = 6059

GCD(73, 83) = ( 73 x 83 ) / 6059

GCD(73, 83) = 6059 / 6059

GCD(73, 83) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 73, 83, 68, 10 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 73, 83, 68, 10

1. What is the GCD of 73, 83, 68, 10?

GCD of 73, 83, 68, 10 is 1


2. Where do I get the detailed procedure to find GCD of 73, 83, 68, 10?

You can find a detailed procedure to find GCD of 73, 83, 68, 10 on our page.


3. How to find GCD of 73, 83, 68, 10 on a calculator?

You can find the GCD of 73, 83, 68, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.