Online GCD Calculator is useful to find the GCD of 816, 284, 712, 380 quickly. Get the easiest ways to solve the greatest common divisor of 816, 284, 712, 380 i.e 4 in different methods as follows.
Given Input numbers are 816, 284, 712, 380
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 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (816, 284, 712, 380) = 4.
Given numbers are 816, 284, 712, 380
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 284 are 2 x 2 x 71
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 22
Therefore, GCD of 816, 284, 712, 380 is 4.
Given numbers are 816, 284, 712, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 284) = 57936
GCD(816, 284) = ( 816 x 284 ) / 57936
= 816 / 284
= 816
Step2:
LCM(4, 712) = 712
GCD(4, 712) = ( 4 x 712 ) / 712
= 4 / 712
= 4
Step3:
LCM(4, 380) = 380
GCD(4, 380) = ( 4 x 380 ) / 380
= 4 / 380
= 4
So, Greatest Common Divisor of 816, 284, 712, 380 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 284, 712, 380
The greatest common divisor of numbers 816, 284, 712, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 284, 712, 380 is 4.
1. What is the GCD of 816, 284, 712, 380?
GCD of given numbers 816, 284, 712, 380 is 4
2. How to calculate the greatest common divisor of 816, 284, 712, 380?
We can find the highest common divisor of 816, 284, 712, 380 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, 284, 712, 380 i.e 4.
3. How can I use the GCD of 816, 284, 712, 380Calculator?
Out the numbers 816, 284, 712, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.