GCD of 822, 360, 195 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 822, 360, 195 quickly. Get the easiest ways to solve the greatest common divisor of 822, 360, 195 i.e 3 in different methods as follows.
Given Input numbers are 822, 360, 195
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
GCD of numbers is the greatest common divisor
So, the GCD (822, 360, 195) = 3.
Given numbers are 822, 360, 195
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 195 are 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 822, 360, 195 is 3.
Steps to Calculate GCD of 822, 360, 195 using LCM Formula
Given numbers are 822, 360, 195
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 360) = 49320
GCD(822, 360) = ( 822 x 360 ) / 49320
= 822 / 360
= 822
Step2:
LCM(6, 195) = 390
GCD(6, 195) = ( 6 x 195 ) / 390
= 6 / 195
= 6
So, Greatest Common Divisor of 822, 360, 195 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 822, 360, 195
Given numbers are 822, 360, 195
The greatest common divisor of numbers 822, 360, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 360, 195 is 3.
FAQs on GCD of 822, 360, 195 Calculator
1. What is the GCD of 822, 360, 195?
GCD of given numbers 822, 360, 195 is 3
2. How to calculate the greatest common divisor of 822, 360, 195?
We can find the highest common divisor of 822, 360, 195 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, 360, 195 i.e 3.
3. How can I use the GCD of 822, 360, 195Calculator?
Out the numbers 822, 360, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.