GCD of 82, 34, 49 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 82, 34, 49 i.e. 1 largest integer that divides all the numbers equally.

GCD of 82, 34, 49 is 1

GCD(82, 34, 49) = 1

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

GCD of

GCD of numbers 82, 34, 49 is 1

GCD(82, 34, 49) = 1

GCD of 82,34,49 Calculator

GCDof 82,34,49 is 1

Given Input numbers are 82, 34, 49

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 82, 34, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 34, 49 is 1.

Therefore, GCD of numbers 82, 34, 49 is 1

Finding GCD of 82, 34, 49 using Prime Factorization

Given Input Data is 82, 34, 49

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 34 is 2 x 17

Prime Factorization of 49 is 7 x 7

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

Finding GCD of 82, 34, 49 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(82, 34) = 1394

GCD(82, 34) = ( 82 x 34 ) / 1394

GCD(82, 34) = 2788 / 1394

GCD(82, 34) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

GCD of 82, 34, 49 is 1

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FAQs on GCD of numbers 82, 34, 49

1. What is the GCD of 82, 34, 49?

GCD of 82, 34, 49 is 1


2. Where do I get the detailed procedure to find GCD of 82, 34, 49?

You can find a detailed procedure to find GCD of 82, 34, 49 on our page.


3. How to find GCD of 82, 34, 49 on a calculator?

You can find the GCD of 82, 34, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.