GCD of 429, 759, 330 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 429, 759, 330 quickly. Get the easiest ways to solve the greatest common divisor of 429, 759, 330 i.e 33 in different methods as follows.
Given Input numbers are 429, 759, 330
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
GCD of numbers is the greatest common divisor
So, the GCD (429, 759, 330) = 33.
Given numbers are 429, 759, 330
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 759 are 3 x 11 x 23
Prime factors of 330 are 2 x 3 x 5 x 11
The highest common occurrence is 111 x 31
Therefore, GCD of 429, 759, 330 is 33.
Steps to Calculate GCD of 429, 759, 330 using LCM Formula
Given numbers are 429, 759, 330
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 759) = 9867
GCD(429, 759) = ( 429 x 759 ) / 9867
= 429 / 759
= 429
Step2:
LCM(33, 330) = 330
GCD(33, 330) = ( 33 x 330 ) / 330
= 33 / 330
= 33
So, Greatest Common Divisor of 429, 759, 330 is 33
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 429, 759, 330
Given numbers are 429, 759, 330
The greatest common divisor of numbers 429, 759, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 759, 330 is 33.
FAQs on GCD of 429, 759, 330 Calculator
1. What is the GCD of 429, 759, 330?
GCD of given numbers 429, 759, 330 is 33
2. How to calculate the greatest common divisor of 429, 759, 330?
We can find the highest common divisor of 429, 759, 330 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 429, 759, 330 i.e 33.
3. How can I use the GCD of 429, 759, 330Calculator?
Out the numbers 429, 759, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.