GCD of 822, 768, 867 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 822, 768, 867 quickly. Get the easiest ways to solve the greatest common divisor of 822, 768, 867 i.e 3 in different methods as follows.
Given Input numbers are 822, 768, 867
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
GCD of numbers is the greatest common divisor
So, the GCD (822, 768, 867) = 3.
Given numbers are 822, 768, 867
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 867 are 3 x 17 x 17
The highest common occurrence is 31
Therefore, GCD of 822, 768, 867 is 3.
Steps to Calculate GCD of 822, 768, 867 using LCM Formula
Given numbers are 822, 768, 867
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 768) = 105216
GCD(822, 768) = ( 822 x 768 ) / 105216
= 822 / 768
= 822
Step2:
LCM(6, 867) = 1734
GCD(6, 867) = ( 6 x 867 ) / 1734
= 6 / 867
= 6
So, Greatest Common Divisor of 822, 768, 867 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 822, 768, 867
Given numbers are 822, 768, 867
The greatest common divisor of numbers 822, 768, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 768, 867 is 3.
FAQs on GCD of 822, 768, 867 Calculator
1. What is the GCD of 822, 768, 867?
GCD of given numbers 822, 768, 867 is 3
2. How to calculate the greatest common divisor of 822, 768, 867?
We can find the highest common divisor of 822, 768, 867 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 822, 768, 867 i.e 3.
3. How can I use the GCD of 822, 768, 867Calculator?
Out the numbers 822, 768, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.