Online GCD Calculator is useful to find the GCD of 375, 459, 126 quickly. Get the easiest ways to solve the greatest common divisor of 375, 459, 126 i.e 3 in different methods as follows.
Given Input numbers are 375, 459, 126
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 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (375, 459, 126) = 3.
Given numbers are 375, 459, 126
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 375, 459, 126 is 3.
Given numbers are 375, 459, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 459) = 57375
GCD(375, 459) = ( 375 x 459 ) / 57375
= 375 / 459
= 375
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
So, Greatest Common Divisor of 375, 459, 126 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 459, 126
The greatest common divisor of numbers 375, 459, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 459, 126 is 3.
1. What is the GCD of 375, 459, 126?
GCD of given numbers 375, 459, 126 is 3
2. How to calculate the greatest common divisor of 375, 459, 126?
We can find the highest common divisor of 375, 459, 126 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, 459, 126 i.e 3.
3. How can I use the GCD of 375, 459, 126Calculator?
Out the numbers 375, 459, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.