Online GCD Calculator is useful to find the GCD of 362, 478, 822 quickly. Get the easiest ways to solve the greatest common divisor of 362, 478, 822 i.e 2 in different methods as follows.
Given Input numbers are 362, 478, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
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 (362, 478, 822) = 2.
Given numbers are 362, 478, 822
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 478 are 2 x 239
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 362, 478, 822 is 2.
Given numbers are 362, 478, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 478) = 86518
GCD(362, 478) = ( 362 x 478 ) / 86518
= 362 / 478
= 362
Step2:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 362, 478, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 478, 822
The greatest common divisor of numbers 362, 478, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 478, 822 is 2.
1. What is the GCD of 362, 478, 822?
GCD of given numbers 362, 478, 822 is 2
2. How to calculate the greatest common divisor of 362, 478, 822?
We can find the highest common divisor of 362, 478, 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 362, 478, 822 i.e 2.
3. How can I use the GCD of 362, 478, 822Calculator?
Out the numbers 362, 478, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.