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GCD of 829, 115, 99 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 829, 115, 99 quickly. Get the easiest ways to solve the greatest common divisor of 829, 115, 99 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 829, 115, 99 with Factoring?

Given Input numbers are 829, 115, 99

In the factoring method, we have to find the divisors of all numbers

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99


GCD of numbers is the greatest common divisor

So, the GCD (829, 115, 99) = 1.

Find GCD of 829, 115, 99 using Prime Factorization

Given numbers are 829, 115, 99

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 115 are 5 x 23

Prime factors of 99 are 3 x 3 x 11

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

Steps to Calculate GCD of 829, 115, 99 using LCM Formula

Given numbers are 829, 115, 99

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(829, 115) = 95335

GCD(829, 115) = ( 829 x 115 ) / 95335

= 829 / 115

= 829


Step2:

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

= 1 / 99

= 1


So, Greatest Common Divisor of 829, 115, 99 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 829, 115, 99

Given numbers are 829, 115, 99
The greatest common divisor of numbers 829, 115, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 115, 99 is 1.

FAQs on GCD of 829, 115, 99 Calculator

1. What is the GCD of 829, 115, 99?

GCD of given numbers 829, 115, 99 is 1


2. How to calculate the greatest common divisor of 829, 115, 99?

We can find the highest common divisor of 829, 115, 99 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 829, 115, 99 i.e 1.


3. How can I use the GCD of 829, 115, 99Calculator?

Out the numbers 829, 115, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.