GCD of 469, 728, 133 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 469, 728, 133 quickly. Get the easiest ways to solve the greatest common divisor of 469, 728, 133 i.e 7 in different methods as follows.
Given Input numbers are 469, 728, 133
In the factoring method, we have to find the divisors of all numbers
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (469, 728, 133) = 7.
Given numbers are 469, 728, 133
The list of prime factors of all numbers are
Prime factors of 469 are 7 x 67
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 133 are 7 x 19
The highest common occurrence is 71
Therefore, GCD of 469, 728, 133 is 7.
Steps to Calculate GCD of 469, 728, 133 using LCM Formula
Given numbers are 469, 728, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(469, 728) = 48776
GCD(469, 728) = ( 469 x 728 ) / 48776
= 469 / 728
= 469
Step2:
LCM(7, 133) = 133
GCD(7, 133) = ( 7 x 133 ) / 133
= 7 / 133
= 7
So, Greatest Common Divisor of 469, 728, 133 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 469, 728, 133
Given numbers are 469, 728, 133
The greatest common divisor of numbers 469, 728, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 728, 133 is 7.
FAQs on GCD of 469, 728, 133 Calculator
1. What is the GCD of 469, 728, 133?
GCD of given numbers 469, 728, 133 is 7
2. How to calculate the greatest common divisor of 469, 728, 133?
We can find the highest common divisor of 469, 728, 133 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 469, 728, 133 i.e 7.
3. How can I use the GCD of 469, 728, 133Calculator?
Out the numbers 469, 728, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.