Online GCD Calculator is useful to find the GCD of 816, 207, 708, 108 quickly. Get the easiest ways to solve the greatest common divisor of 816, 207, 708, 108 i.e 3 in different methods as follows.
Given Input numbers are 816, 207, 708, 108
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 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (816, 207, 708, 108) = 3.
Given numbers are 816, 207, 708, 108
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 207 are 3 x 3 x 23
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 816, 207, 708, 108 is 3.
Given numbers are 816, 207, 708, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 207) = 56304
GCD(816, 207) = ( 816 x 207 ) / 56304
= 816 / 207
= 816
Step2:
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
= 3 / 708
= 3
Step3:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
So, Greatest Common Divisor of 816, 207, 708, 108 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 207, 708, 108
The greatest common divisor of numbers 816, 207, 708, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 207, 708, 108 is 3.
1. What is the GCD of 816, 207, 708, 108?
GCD of given numbers 816, 207, 708, 108 is 3
2. How to calculate the greatest common divisor of 816, 207, 708, 108?
We can find the highest common divisor of 816, 207, 708, 108 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, 207, 708, 108 i.e 3.
3. How can I use the GCD of 816, 207, 708, 108Calculator?
Out the numbers 816, 207, 708, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.