Online GCD Calculator is useful to find the GCD of 798, 822, 206, 162 quickly. Get the easiest ways to solve the greatest common divisor of 798, 822, 206, 162 i.e 2 in different methods as follows.
Given Input numbers are 798, 822, 206, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (798, 822, 206, 162) = 2.
Given numbers are 798, 822, 206, 162
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 822 are 2 x 3 x 137
Prime factors of 206 are 2 x 103
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 798, 822, 206, 162 is 2.
Given numbers are 798, 822, 206, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 822) = 109326
GCD(798, 822) = ( 798 x 822 ) / 109326
= 798 / 822
= 798
Step2:
LCM(6, 206) = 618
GCD(6, 206) = ( 6 x 206 ) / 618
= 6 / 206
= 6
Step3:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
So, Greatest Common Divisor of 798, 822, 206, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 822, 206, 162
The greatest common divisor of numbers 798, 822, 206, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 822, 206, 162 is 2.
1. What is the GCD of 798, 822, 206, 162?
GCD of given numbers 798, 822, 206, 162 is 2
2. How to calculate the greatest common divisor of 798, 822, 206, 162?
We can find the highest common divisor of 798, 822, 206, 162 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 798, 822, 206, 162 i.e 2.
3. How can I use the GCD of 798, 822, 206, 162Calculator?
Out the numbers 798, 822, 206, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.