Online GCD Calculator is useful to find the GCD of 810, 360, 558, 172 quickly. Get the easiest ways to solve the greatest common divisor of 810, 360, 558, 172 i.e 2 in different methods as follows.
Given Input numbers are 810, 360, 558, 172
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (810, 360, 558, 172) = 2.
Given numbers are 810, 360, 558, 172
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 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 810, 360, 558, 172 is 2.
Given numbers are 810, 360, 558, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 360) = 3240
GCD(810, 360) = ( 810 x 360 ) / 3240
= 810 / 360
= 810
Step2:
LCM(90, 558) = 2790
GCD(90, 558) = ( 90 x 558 ) / 2790
= 90 / 558
= 90
Step3:
LCM(18, 172) = 1548
GCD(18, 172) = ( 18 x 172 ) / 1548
= 18 / 172
= 18
So, Greatest Common Divisor of 810, 360, 558, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 360, 558, 172
The greatest common divisor of numbers 810, 360, 558, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 360, 558, 172 is 2.
1. What is the GCD of 810, 360, 558, 172?
GCD of given numbers 810, 360, 558, 172 is 2
2. How to calculate the greatest common divisor of 810, 360, 558, 172?
We can find the highest common divisor of 810, 360, 558, 172 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, 360, 558, 172 i.e 2.
3. How can I use the GCD of 810, 360, 558, 172Calculator?
Out the numbers 810, 360, 558, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.