Online GCD Calculator is useful to find the GCD of 738, 777, 939, 684 quickly. Get the easiest ways to solve the greatest common divisor of 738, 777, 939, 684 i.e 3 in different methods as follows.
Given Input numbers are 738, 777, 939, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (738, 777, 939, 684) = 3.
Given numbers are 738, 777, 939, 684
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 777 are 3 x 7 x 37
Prime factors of 939 are 3 x 313
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 738, 777, 939, 684 is 3.
Given numbers are 738, 777, 939, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 777) = 191142
GCD(738, 777) = ( 738 x 777 ) / 191142
= 738 / 777
= 738
Step2:
LCM(3, 939) = 939
GCD(3, 939) = ( 3 x 939 ) / 939
= 3 / 939
= 3
Step3:
LCM(3, 684) = 684
GCD(3, 684) = ( 3 x 684 ) / 684
= 3 / 684
= 3
So, Greatest Common Divisor of 738, 777, 939, 684 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 777, 939, 684
The greatest common divisor of numbers 738, 777, 939, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 777, 939, 684 is 3.
1. What is the GCD of 738, 777, 939, 684?
GCD of given numbers 738, 777, 939, 684 is 3
2. How to calculate the greatest common divisor of 738, 777, 939, 684?
We can find the highest common divisor of 738, 777, 939, 684 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 738, 777, 939, 684 i.e 3.
3. How can I use the GCD of 738, 777, 939, 684Calculator?
Out the numbers 738, 777, 939, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.