Online GCD Calculator is useful to find the GCD of 375, 381, 333, 102 quickly. Get the easiest ways to solve the greatest common divisor of 375, 381, 333, 102 i.e 3 in different methods as follows.
Given Input numbers are 375, 381, 333, 102
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (375, 381, 333, 102) = 3.
Given numbers are 375, 381, 333, 102
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 381 are 3 x 127
Prime factors of 333 are 3 x 3 x 37
Prime factors of 102 are 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 375, 381, 333, 102 is 3.
Given numbers are 375, 381, 333, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 381) = 47625
GCD(375, 381) = ( 375 x 381 ) / 47625
= 375 / 381
= 375
Step2:
LCM(3, 333) = 333
GCD(3, 333) = ( 3 x 333 ) / 333
= 3 / 333
= 3
Step3:
LCM(3, 102) = 102
GCD(3, 102) = ( 3 x 102 ) / 102
= 3 / 102
= 3
So, Greatest Common Divisor of 375, 381, 333, 102 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 381, 333, 102
The greatest common divisor of numbers 375, 381, 333, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 381, 333, 102 is 3.
1. What is the GCD of 375, 381, 333, 102?
GCD of given numbers 375, 381, 333, 102 is 3
2. How to calculate the greatest common divisor of 375, 381, 333, 102?
We can find the highest common divisor of 375, 381, 333, 102 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 375, 381, 333, 102 i.e 3.
3. How can I use the GCD of 375, 381, 333, 102Calculator?
Out the numbers 375, 381, 333, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.