GCD of 134, 378, 204 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 134, 378, 204 quickly. Get the easiest ways to solve the greatest common divisor of 134, 378, 204 i.e 2 in different methods as follows.
Given Input numbers are 134, 378, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (134, 378, 204) = 2.
Given numbers are 134, 378, 204
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 134, 378, 204 is 2.
Steps to Calculate GCD of 134, 378, 204 using LCM Formula
Given numbers are 134, 378, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 378) = 25326
GCD(134, 378) = ( 134 x 378 ) / 25326
= 134 / 378
= 134
Step2:
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
= 2 / 204
= 2
So, Greatest Common Divisor of 134, 378, 204 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 134, 378, 204
Given numbers are 134, 378, 204
The greatest common divisor of numbers 134, 378, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 378, 204 is 2.
FAQs on GCD of 134, 378, 204 Calculator
1. What is the GCD of 134, 378, 204?
GCD of given numbers 134, 378, 204 is 2
2. How to calculate the greatest common divisor of 134, 378, 204?
We can find the highest common divisor of 134, 378, 204 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 134, 378, 204 i.e 2.
3. How can I use the GCD of 134, 378, 204Calculator?
Out the numbers 134, 378, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.