Online GCD Calculator is useful to find the GCD of 558, 765, 462, 816 quickly. Get the easiest ways to solve the greatest common divisor of 558, 765, 462, 816 i.e 3 in different methods as follows.
Given Input numbers are 558, 765, 462, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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
GCD of numbers is the greatest common divisor
So, the GCD (558, 765, 462, 816) = 3.
Given numbers are 558, 765, 462, 816
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 558, 765, 462, 816 is 3.
Given numbers are 558, 765, 462, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 765) = 47430
GCD(558, 765) = ( 558 x 765 ) / 47430
= 558 / 765
= 558
Step2:
LCM(9, 462) = 1386
GCD(9, 462) = ( 9 x 462 ) / 1386
= 9 / 462
= 9
Step3:
LCM(3, 816) = 816
GCD(3, 816) = ( 3 x 816 ) / 816
= 3 / 816
= 3
So, Greatest Common Divisor of 558, 765, 462, 816 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 765, 462, 816
The greatest common divisor of numbers 558, 765, 462, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 765, 462, 816 is 3.
1. What is the GCD of 558, 765, 462, 816?
GCD of given numbers 558, 765, 462, 816 is 3
2. How to calculate the greatest common divisor of 558, 765, 462, 816?
We can find the highest common divisor of 558, 765, 462, 816 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 558, 765, 462, 816 i.e 3.
3. How can I use the GCD of 558, 765, 462, 816Calculator?
Out the numbers 558, 765, 462, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.