Online GCD Calculator is useful to find the GCD of 381, 894, 165, 777 quickly. Get the easiest ways to solve the greatest common divisor of 381, 894, 165, 777 i.e 3 in different methods as follows.
Given Input numbers are 381, 894, 165, 777
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
GCD of numbers is the greatest common divisor
So, the GCD (381, 894, 165, 777) = 3.
Given numbers are 381, 894, 165, 777
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 894 are 2 x 3 x 149
Prime factors of 165 are 3 x 5 x 11
Prime factors of 777 are 3 x 7 x 37
The highest common occurrence is 31
Therefore, GCD of 381, 894, 165, 777 is 3.
Given numbers are 381, 894, 165, 777
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 894) = 113538
GCD(381, 894) = ( 381 x 894 ) / 113538
= 381 / 894
= 381
Step2:
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
= 3 / 165
= 3
Step3:
LCM(3, 777) = 777
GCD(3, 777) = ( 3 x 777 ) / 777
= 3 / 777
= 3
So, Greatest Common Divisor of 381, 894, 165, 777 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 381, 894, 165, 777
The greatest common divisor of numbers 381, 894, 165, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 894, 165, 777 is 3.
1. What is the GCD of 381, 894, 165, 777?
GCD of given numbers 381, 894, 165, 777 is 3
2. How to calculate the greatest common divisor of 381, 894, 165, 777?
We can find the highest common divisor of 381, 894, 165, 777 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 381, 894, 165, 777 i.e 3.
3. How can I use the GCD of 381, 894, 165, 777Calculator?
Out the numbers 381, 894, 165, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.