GCD of 132, 450, 909 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 132, 450, 909 quickly. Get the easiest ways to solve the greatest common divisor of 132, 450, 909 i.e 3 in different methods as follows.
Given Input numbers are 132, 450, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (132, 450, 909) = 3.
Given numbers are 132, 450, 909
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 909 are 3 x 3 x 101
The highest common occurrence is 31
Therefore, GCD of 132, 450, 909 is 3.
Steps to Calculate GCD of 132, 450, 909 using LCM Formula
Given numbers are 132, 450, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 450) = 9900
GCD(132, 450) = ( 132 x 450 ) / 9900
= 132 / 450
= 132
Step2:
LCM(6, 909) = 1818
GCD(6, 909) = ( 6 x 909 ) / 1818
= 6 / 909
= 6
So, Greatest Common Divisor of 132, 450, 909 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 132, 450, 909
Given numbers are 132, 450, 909
The greatest common divisor of numbers 132, 450, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 450, 909 is 3.
FAQs on GCD of 132, 450, 909 Calculator
1. What is the GCD of 132, 450, 909?
GCD of given numbers 132, 450, 909 is 3
2. How to calculate the greatest common divisor of 132, 450, 909?
We can find the highest common divisor of 132, 450, 909 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 132, 450, 909 i.e 3.
3. How can I use the GCD of 132, 450, 909Calculator?
Out the numbers 132, 450, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.