GCD of 867, 816, 204 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 867, 816, 204 quickly. Get the easiest ways to solve the greatest common divisor of 867, 816, 204 i.e 51 in different methods as follows.
Given Input numbers are 867, 816, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 (867, 816, 204) = 51.
Given numbers are 867, 816, 204
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 171 x 31
Therefore, GCD of 867, 816, 204 is 51.
Steps to Calculate GCD of 867, 816, 204 using LCM Formula
Given numbers are 867, 816, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 816) = 13872
GCD(867, 816) = ( 867 x 816 ) / 13872
= 867 / 816
= 867
Step2:
LCM(51, 204) = 204
GCD(51, 204) = ( 51 x 204 ) / 204
= 51 / 204
= 51
So, Greatest Common Divisor of 867, 816, 204 is 51
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 867, 816, 204
Given numbers are 867, 816, 204
The greatest common divisor of numbers 867, 816, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 816, 204 is 51.
FAQs on GCD of 867, 816, 204 Calculator
1. What is the GCD of 867, 816, 204?
GCD of given numbers 867, 816, 204 is 51
2. How to calculate the greatest common divisor of 867, 816, 204?
We can find the highest common divisor of 867, 816, 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 867, 816, 204 i.e 51.
3. How can I use the GCD of 867, 816, 204Calculator?
Out the numbers 867, 816, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.