GCD of 133, 304, 285 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 133, 304, 285 quickly. Get the easiest ways to solve the greatest common divisor of 133, 304, 285 i.e 19 in different methods as follows.
Given Input numbers are 133, 304, 285
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
GCD of numbers is the greatest common divisor
So, the GCD (133, 304, 285) = 19.
Given numbers are 133, 304, 285
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 285 are 3 x 5 x 19
The highest common occurrence is 191
Therefore, GCD of 133, 304, 285 is 19.
Steps to Calculate GCD of 133, 304, 285 using LCM Formula
Given numbers are 133, 304, 285
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 304) = 2128
GCD(133, 304) = ( 133 x 304 ) / 2128
= 133 / 304
= 133
Step2:
LCM(19, 285) = 285
GCD(19, 285) = ( 19 x 285 ) / 285
= 19 / 285
= 19
So, Greatest Common Divisor of 133, 304, 285 is 19
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 133, 304, 285
Given numbers are 133, 304, 285
The greatest common divisor of numbers 133, 304, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 304, 285 is 19.
FAQs on GCD of 133, 304, 285 Calculator
1. What is the GCD of 133, 304, 285?
GCD of given numbers 133, 304, 285 is 19
2. How to calculate the greatest common divisor of 133, 304, 285?
We can find the highest common divisor of 133, 304, 285 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 133, 304, 285 i.e 19.
3. How can I use the GCD of 133, 304, 285Calculator?
Out the numbers 133, 304, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.