Online GCD Calculator is useful to find the GCD of 375, 129, 918, 774 quickly. Get the easiest ways to solve the greatest common divisor of 375, 129, 918, 774 i.e 3 in different methods as follows.
Given Input numbers are 375, 129, 918, 774
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 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
GCD of numbers is the greatest common divisor
So, the GCD (375, 129, 918, 774) = 3.
Given numbers are 375, 129, 918, 774
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 129 are 3 x 43
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 774 are 2 x 3 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 375, 129, 918, 774 is 3.
Given numbers are 375, 129, 918, 774
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 129) = 16125
GCD(375, 129) = ( 375 x 129 ) / 16125
= 375 / 129
= 375
Step2:
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
= 3 / 918
= 3
Step3:
LCM(3, 774) = 774
GCD(3, 774) = ( 3 x 774 ) / 774
= 3 / 774
= 3
So, Greatest Common Divisor of 375, 129, 918, 774 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 129, 918, 774
The greatest common divisor of numbers 375, 129, 918, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 129, 918, 774 is 3.
1. What is the GCD of 375, 129, 918, 774?
GCD of given numbers 375, 129, 918, 774 is 3
2. How to calculate the greatest common divisor of 375, 129, 918, 774?
We can find the highest common divisor of 375, 129, 918, 774 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, 129, 918, 774 i.e 3.
3. How can I use the GCD of 375, 129, 918, 774Calculator?
Out the numbers 375, 129, 918, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.