Online GCD Calculator is useful to find the GCD of 822, 864, 372, 722 quickly. Get the easiest ways to solve the greatest common divisor of 822, 864, 372, 722 i.e 2 in different methods as follows.
Given Input numbers are 822, 864, 372, 722
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (822, 864, 372, 722) = 2.
Given numbers are 822, 864, 372, 722
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 722 are 2 x 19 x 19
The highest common occurrence is 21
Therefore, GCD of 822, 864, 372, 722 is 2.
Given numbers are 822, 864, 372, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 864) = 118368
GCD(822, 864) = ( 822 x 864 ) / 118368
= 822 / 864
= 822
Step2:
LCM(6, 372) = 372
GCD(6, 372) = ( 6 x 372 ) / 372
= 6 / 372
= 6
Step3:
LCM(6, 722) = 2166
GCD(6, 722) = ( 6 x 722 ) / 2166
= 6 / 722
= 6
So, Greatest Common Divisor of 822, 864, 372, 722 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 864, 372, 722
The greatest common divisor of numbers 822, 864, 372, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 864, 372, 722 is 2.
1. What is the GCD of 822, 864, 372, 722?
GCD of given numbers 822, 864, 372, 722 is 2
2. How to calculate the greatest common divisor of 822, 864, 372, 722?
We can find the highest common divisor of 822, 864, 372, 722 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, 864, 372, 722 i.e 2.
3. How can I use the GCD of 822, 864, 372, 722Calculator?
Out the numbers 822, 864, 372, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.