GCD of 321, 706, 83 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 321, 706, 83 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 706, 83 is 1

GCD(321, 706, 83) = 1

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

GCD of

GCD of numbers 321, 706, 83 is 1

GCD(321, 706, 83) = 1

GCD of 321,706,83 Calculator

GCDof 321,706,83 is 1

Given Input numbers are 321, 706, 83

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 83

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

1, 83

Greatest Common Divisior

We found the divisors of 321, 706, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 706, 83 is 1.

Therefore, GCD of numbers 321, 706, 83 is 1

Finding GCD of 321, 706, 83 using Prime Factorization

Given Input Data is 321, 706, 83

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 706 is 2 x 353

Prime Factorization of 83 is 83

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

Finding GCD of 321, 706, 83 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(321, 706) = 226626

GCD(321, 706) = ( 321 x 706 ) / 226626

GCD(321, 706) = 226626 / 226626

GCD(321, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

GCD of 321, 706, 83 is 1

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FAQs on GCD of numbers 321, 706, 83

1. What is the GCD of 321, 706, 83?

GCD of 321, 706, 83 is 1

2. Where do I get the detailed procedure to find GCD of 321, 706, 83?

You can find a detailed procedure to find GCD of 321, 706, 83 on our page.

3. How to find GCD of 321, 706, 83 on a calculator?

You can find the GCD of 321, 706, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.