Online GCD Calculator is useful to find the GCD of 816, 832, 804, 772 quickly. Get the easiest ways to solve the greatest common divisor of 816, 832, 804, 772 i.e 4 in different methods as follows.
Given Input numbers are 816, 832, 804, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (816, 832, 804, 772) = 4.
Given numbers are 816, 832, 804, 772
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 22
Therefore, GCD of 816, 832, 804, 772 is 4.
Given numbers are 816, 832, 804, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 832) = 42432
GCD(816, 832) = ( 816 x 832 ) / 42432
= 816 / 832
= 816
Step2:
LCM(16, 804) = 3216
GCD(16, 804) = ( 16 x 804 ) / 3216
= 16 / 804
= 16
Step3:
LCM(4, 772) = 772
GCD(4, 772) = ( 4 x 772 ) / 772
= 4 / 772
= 4
So, Greatest Common Divisor of 816, 832, 804, 772 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 832, 804, 772
The greatest common divisor of numbers 816, 832, 804, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 832, 804, 772 is 4.
1. What is the GCD of 816, 832, 804, 772?
GCD of given numbers 816, 832, 804, 772 is 4
2. How to calculate the greatest common divisor of 816, 832, 804, 772?
We can find the highest common divisor of 816, 832, 804, 772 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 816, 832, 804, 772 i.e 4.
3. How can I use the GCD of 816, 832, 804, 772Calculator?
Out the numbers 816, 832, 804, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.