GCD of 39, 49, 30 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 39, 49, 30 i.e. 1 largest integer that divides all the numbers equally.

GCD of 39, 49, 30 is 1

GCD(39, 49, 30) = 1

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

GCD of

GCD of numbers 39, 49, 30 is 1

GCD(39, 49, 30) = 1

GCD of 39,49,30 Calculator

GCDof 39,49,30 is 1

Given Input numbers are 39, 49, 30

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 49

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

1, 7, 49

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 39, 49, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 49, 30 is 1.

Therefore, GCD of numbers 39, 49, 30 is 1

Finding GCD of 39, 49, 30 using Prime Factorization

Given Input Data is 39, 49, 30

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 49 is 7 x 7

Prime Factorization of 30 is 2 x 3 x 5

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

Finding GCD of 39, 49, 30 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(39, 49) = 1911

GCD(39, 49) = ( 39 x 49 ) / 1911

GCD(39, 49) = 1911 / 1911

GCD(39, 49) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

GCD of 39, 49, 30 is 1

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FAQs on GCD of numbers 39, 49, 30

1. What is the GCD of 39, 49, 30?

GCD of 39, 49, 30 is 1


2. Where do I get the detailed procedure to find GCD of 39, 49, 30?

You can find a detailed procedure to find GCD of 39, 49, 30 on our page.


3. How to find GCD of 39, 49, 30 on a calculator?

You can find the GCD of 39, 49, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.