GCD of 105, 333, 309, 299 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 333, 309, 299 quickly. Get the easiest ways to solve the greatest common divisor of 105, 333, 309, 299 i.e 1 in different methods as follows.
Given Input numbers are 105, 333, 309, 299
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
GCD of numbers is the greatest common divisor
So, the GCD (105, 333, 309, 299) = 1.
Given numbers are 105, 333, 309, 299
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 333 are 3 x 3 x 37
Prime factors of 309 are 3 x 103
Prime factors of 299 are 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 105, 333, 309, 299 using LCM Formula
Given numbers are 105, 333, 309, 299
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 333) = 11655
GCD(105, 333) = ( 105 x 333 ) / 11655
= 105 / 333
= 105
Step2:
LCM(3, 309) = 309
GCD(3, 309) = ( 3 x 309 ) / 309
= 3 / 309
= 3
Step3:
LCM(3, 299) = 897
GCD(3, 299) = ( 3 x 299 ) / 897
= 3 / 299
= 3
So, Greatest Common Divisor of 105, 333, 309, 299 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 333, 309, 299
Given numbers are 105, 333, 309, 299
The greatest common divisor of numbers 105, 333, 309, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 333, 309, 299 is 1.
FAQs on GCD of 105, 333, 309, 299 Calculator
1. What is the GCD of 105, 333, 309, 299?
GCD of given numbers 105, 333, 309, 299 is 1
2. How to calculate the greatest common divisor of 105, 333, 309, 299?
We can find the highest common divisor of 105, 333, 309, 299 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 105, 333, 309, 299 i.e 1.
3. How can I use the GCD of 105, 333, 309, 299Calculator?
Out the numbers 105, 333, 309, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.