GCD of 346, 114, 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 346, 114, 83 i.e. 1 largest integer that divides all the numbers equally.

GCD of 346, 114, 83 is 1

GCD(346, 114, 83) = 1

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

GCD of

GCD of numbers 346, 114, 83 is 1

GCD(346, 114, 83) = 1

GCD of 346,114,83 Calculator

GCDof 346,114,83 is 1

Given Input numbers are 346, 114, 83

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 346, 114, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 114, 83 is 1.

Therefore, GCD of numbers 346, 114, 83 is 1

Finding GCD of 346, 114, 83 using Prime Factorization

Given Input Data is 346, 114, 83

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 83 is 83

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

Finding GCD of 346, 114, 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(346, 114) = 19722

GCD(346, 114) = ( 346 x 114 ) / 19722

GCD(346, 114) = 39444 / 19722

GCD(346, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

GCD of 346, 114, 83 is 1

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FAQs on GCD of numbers 346, 114, 83

1. What is the GCD of 346, 114, 83?

GCD of 346, 114, 83 is 1

2. Where do I get the detailed procedure to find GCD of 346, 114, 83?

You can find a detailed procedure to find GCD of 346, 114, 83 on our page.

3. How to find GCD of 346, 114, 83 on a calculator?

You can find the GCD of 346, 114, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.