Online GCD Calculator is useful to find the GCD of 747, 303, 927, 816 quickly. Get the easiest ways to solve the greatest common divisor of 747, 303, 927, 816 i.e 3 in different methods as follows.
Given Input numbers are 747, 303, 927, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
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 (747, 303, 927, 816) = 3.
Given numbers are 747, 303, 927, 816
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 303 are 3 x 101
Prime factors of 927 are 3 x 3 x 103
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 747, 303, 927, 816 is 3.
Given numbers are 747, 303, 927, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 303) = 75447
GCD(747, 303) = ( 747 x 303 ) / 75447
= 747 / 303
= 747
Step2:
LCM(3, 927) = 927
GCD(3, 927) = ( 3 x 927 ) / 927
= 3 / 927
= 3
Step3:
LCM(3, 816) = 816
GCD(3, 816) = ( 3 x 816 ) / 816
= 3 / 816
= 3
So, Greatest Common Divisor of 747, 303, 927, 816 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 303, 927, 816
The greatest common divisor of numbers 747, 303, 927, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 303, 927, 816 is 3.
1. What is the GCD of 747, 303, 927, 816?
GCD of given numbers 747, 303, 927, 816 is 3
2. How to calculate the greatest common divisor of 747, 303, 927, 816?
We can find the highest common divisor of 747, 303, 927, 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 747, 303, 927, 816 i.e 3.
3. How can I use the GCD of 747, 303, 927, 816Calculator?
Out the numbers 747, 303, 927, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.