Online GCD Calculator is useful to find the GCD of 810, 963, 744, 375 quickly. Get the easiest ways to solve the greatest common divisor of 810, 963, 744, 375 i.e 3 in different methods as follows.
Given Input numbers are 810, 963, 744, 375
In the factoring method, we have to find the divisors of all numbers
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (810, 963, 744, 375) = 3.
Given numbers are 810, 963, 744, 375
The list of prime factors of all numbers are
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 963 are 3 x 3 x 107
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 810, 963, 744, 375 is 3.
Given numbers are 810, 963, 744, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 963) = 86670
GCD(810, 963) = ( 810 x 963 ) / 86670
= 810 / 963
= 810
Step2:
LCM(9, 744) = 2232
GCD(9, 744) = ( 9 x 744 ) / 2232
= 9 / 744
= 9
Step3:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
So, Greatest Common Divisor of 810, 963, 744, 375 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 963, 744, 375
The greatest common divisor of numbers 810, 963, 744, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 963, 744, 375 is 3.
1. What is the GCD of 810, 963, 744, 375?
GCD of given numbers 810, 963, 744, 375 is 3
2. How to calculate the greatest common divisor of 810, 963, 744, 375?
We can find the highest common divisor of 810, 963, 744, 375 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 810, 963, 744, 375 i.e 3.
3. How can I use the GCD of 810, 963, 744, 375Calculator?
Out the numbers 810, 963, 744, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.