Online GCD Calculator is useful to find the GCD of 363, 177, 966, 675 quickly. Get the easiest ways to solve the greatest common divisor of 363, 177, 966, 675 i.e 3 in different methods as follows.
Given Input numbers are 363, 177, 966, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (363, 177, 966, 675) = 3.
Given numbers are 363, 177, 966, 675
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 177 are 3 x 59
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 363, 177, 966, 675 is 3.
Given numbers are 363, 177, 966, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 177) = 21417
GCD(363, 177) = ( 363 x 177 ) / 21417
= 363 / 177
= 363
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
Step3:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 363, 177, 966, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 363, 177, 966, 675
The greatest common divisor of numbers 363, 177, 966, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 177, 966, 675 is 3.
1. What is the GCD of 363, 177, 966, 675?
GCD of given numbers 363, 177, 966, 675 is 3
2. How to calculate the greatest common divisor of 363, 177, 966, 675?
We can find the highest common divisor of 363, 177, 966, 675 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 363, 177, 966, 675 i.e 3.
3. How can I use the GCD of 363, 177, 966, 675Calculator?
Out the numbers 363, 177, 966, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.