Online GCD Calculator is useful to find the GCD of 810, 168, 105, 126 quickly. Get the easiest ways to solve the greatest common divisor of 810, 168, 105, 126 i.e 3 in different methods as follows.
Given Input numbers are 810, 168, 105, 126
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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 (810, 168, 105, 126) = 3.
Given numbers are 810, 168, 105, 126
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 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 105 are 3 x 5 x 7
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 810, 168, 105, 126 is 3.
Given numbers are 810, 168, 105, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 168) = 22680
GCD(810, 168) = ( 810 x 168 ) / 22680
= 810 / 168
= 810
Step2:
LCM(6, 105) = 210
GCD(6, 105) = ( 6 x 105 ) / 210
= 6 / 105
= 6
Step3:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
So, Greatest Common Divisor of 810, 168, 105, 126 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 168, 105, 126
The greatest common divisor of numbers 810, 168, 105, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 168, 105, 126 is 3.
1. What is the GCD of 810, 168, 105, 126?
GCD of given numbers 810, 168, 105, 126 is 3
2. How to calculate the greatest common divisor of 810, 168, 105, 126?
We can find the highest common divisor of 810, 168, 105, 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 810, 168, 105, 126 i.e 3.
3. How can I use the GCD of 810, 168, 105, 126Calculator?
Out the numbers 810, 168, 105, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.