Online GCD Calculator is useful to find the GCD of 360, 356, 822 quickly. Get the easiest ways to solve the greatest common divisor of 360, 356, 822 i.e 2 in different methods as follows.
Given Input numbers are 360, 356, 822
In the factoring method, we have to find the divisors of all numbers
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 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (360, 356, 822) = 2.
Given numbers are 360, 356, 822
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 356 are 2 x 2 x 89
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 360, 356, 822 is 2.
Given numbers are 360, 356, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 356) = 32040
GCD(360, 356) = ( 360 x 356 ) / 32040
= 360 / 356
= 360
Step2:
LCM(4, 822) = 1644
GCD(4, 822) = ( 4 x 822 ) / 1644
= 4 / 822
= 4
So, Greatest Common Divisor of 360, 356, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 356, 822
The greatest common divisor of numbers 360, 356, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 356, 822 is 2.
1. What is the GCD of 360, 356, 822?
GCD of given numbers 360, 356, 822 is 2
2. How to calculate the greatest common divisor of 360, 356, 822?
We can find the highest common divisor of 360, 356, 822 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 360, 356, 822 i.e 2.
3. How can I use the GCD of 360, 356, 822Calculator?
Out the numbers 360, 356, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.