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.
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.
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
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
Here are some samples of GCD of Numbers calculations.
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.
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.