Online GCD Calculator is useful to find the GCD of 816, 117, 384, 597 quickly. Get the easiest ways to solve the greatest common divisor of 816, 117, 384, 597 i.e 3 in different methods as follows.
Given Input numbers are 816, 117, 384, 597
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 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
GCD of numbers is the greatest common divisor
So, the GCD (816, 117, 384, 597) = 3.
Given numbers are 816, 117, 384, 597
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 117 are 3 x 3 x 13
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 597 are 3 x 199
The highest common occurrence is 31
Therefore, GCD of 816, 117, 384, 597 is 3.
Given numbers are 816, 117, 384, 597
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 117) = 31824
GCD(816, 117) = ( 816 x 117 ) / 31824
= 816 / 117
= 816
Step2:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
Step3:
LCM(3, 597) = 597
GCD(3, 597) = ( 3 x 597 ) / 597
= 3 / 597
= 3
So, Greatest Common Divisor of 816, 117, 384, 597 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 117, 384, 597
The greatest common divisor of numbers 816, 117, 384, 597 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 117, 384, 597 is 3.
1. What is the GCD of 816, 117, 384, 597?
GCD of given numbers 816, 117, 384, 597 is 3
2. How to calculate the greatest common divisor of 816, 117, 384, 597?
We can find the highest common divisor of 816, 117, 384, 597 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, 117, 384, 597 i.e 3.
3. How can I use the GCD of 816, 117, 384, 597Calculator?
Out the numbers 816, 117, 384, 597 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.