GCD of 133, 931, 228 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 133, 931, 228 quickly. Get the easiest ways to solve the greatest common divisor of 133, 931, 228 i.e 19 in different methods as follows.
Given Input numbers are 133, 931, 228
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 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (133, 931, 228) = 19.
Given numbers are 133, 931, 228
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 931 are 7 x 7 x 19
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 191
Therefore, GCD of 133, 931, 228 is 19.
Steps to Calculate GCD of 133, 931, 228 using LCM Formula
Given numbers are 133, 931, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 931) = 931
GCD(133, 931) = ( 133 x 931 ) / 931
= 133 / 931
= 133
Step2:
LCM(133, 228) = 1596
GCD(133, 228) = ( 133 x 228 ) / 1596
= 133 / 228
= 133
So, Greatest Common Divisor of 133, 931, 228 is 19
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 133, 931, 228
Given numbers are 133, 931, 228
The greatest common divisor of numbers 133, 931, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 931, 228 is 19.
FAQs on GCD of 133, 931, 228 Calculator
1. What is the GCD of 133, 931, 228?
GCD of given numbers 133, 931, 228 is 19
2. How to calculate the greatest common divisor of 133, 931, 228?
We can find the highest common divisor of 133, 931, 228 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, 931, 228 i.e 19.
3. How can I use the GCD of 133, 931, 228Calculator?
Out the numbers 133, 931, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.