GCD of 29, 78, 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 29, 78, 10 i.e. 1 largest integer that divides all the numbers equally.

GCD of 29, 78, 10 is 1

GCD(29, 78, 10) = 1

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

GCD of

GCD of numbers 29, 78, 10 is 1

GCD(29, 78, 10) = 1

GCD of 29,78,10 Calculator

GCDof 29,78,10 is 1

Given Input numbers are 29, 78, 10

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 29, 78, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 78, 10 is 1.

Therefore, GCD of numbers 29, 78, 10 is 1

Finding GCD of 29, 78, 10 using Prime Factorization

Given Input Data is 29, 78, 10

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

Prime Factorization of 29 is 29

Prime Factorization of 78 is 2 x 3 x 13

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 29, 78, 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(29, 78) = 2262

GCD(29, 78) = ( 29 x 78 ) / 2262

GCD(29, 78) = 2262 / 2262

GCD(29, 78) = 1


Step2:

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 29, 78, 10 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 29, 78, 10

1. What is the GCD of 29, 78, 10?

GCD of 29, 78, 10 is 1


2. Where do I get the detailed procedure to find GCD of 29, 78, 10?

You can find a detailed procedure to find GCD of 29, 78, 10 on our page.


3. How to find GCD of 29, 78, 10 on a calculator?

You can find the GCD of 29, 78, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.