Online GCD Calculator is useful to find the GCD of 816, 297, 345, 759 quickly. Get the easiest ways to solve the greatest common divisor of 816, 297, 345, 759 i.e 3 in different methods as follows.
Given Input numbers are 816, 297, 345, 759
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 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
GCD of numbers is the greatest common divisor
So, the GCD (816, 297, 345, 759) = 3.
Given numbers are 816, 297, 345, 759
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 297 are 3 x 3 x 3 x 11
Prime factors of 345 are 3 x 5 x 23
Prime factors of 759 are 3 x 11 x 23
The highest common occurrence is 31
Therefore, GCD of 816, 297, 345, 759 is 3.
Given numbers are 816, 297, 345, 759
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 297) = 80784
GCD(816, 297) = ( 816 x 297 ) / 80784
= 816 / 297
= 816
Step2:
LCM(3, 345) = 345
GCD(3, 345) = ( 3 x 345 ) / 345
= 3 / 345
= 3
Step3:
LCM(3, 759) = 759
GCD(3, 759) = ( 3 x 759 ) / 759
= 3 / 759
= 3
So, Greatest Common Divisor of 816, 297, 345, 759 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 297, 345, 759
The greatest common divisor of numbers 816, 297, 345, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 297, 345, 759 is 3.
1. What is the GCD of 816, 297, 345, 759?
GCD of given numbers 816, 297, 345, 759 is 3
2. How to calculate the greatest common divisor of 816, 297, 345, 759?
We can find the highest common divisor of 816, 297, 345, 759 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, 297, 345, 759 i.e 3.
3. How can I use the GCD of 816, 297, 345, 759Calculator?
Out the numbers 816, 297, 345, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.