Online GCD Calculator is useful to find the GCD of 810, 575, 425, 165 quickly. Get the easiest ways to solve the greatest common divisor of 810, 575, 425, 165 i.e 5 in different methods as follows.
Given Input numbers are 810, 575, 425, 165
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 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 425 :
The positive integer divisors of 425 that completely divides 425 are.
1, 5, 17, 25, 85, 425
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (810, 575, 425, 165) = 5.
Given numbers are 810, 575, 425, 165
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 575 are 5 x 5 x 23
Prime factors of 425 are 5 x 5 x 17
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 810, 575, 425, 165 is 5.
Given numbers are 810, 575, 425, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 575) = 93150
GCD(810, 575) = ( 810 x 575 ) / 93150
= 810 / 575
= 810
Step2:
LCM(5, 425) = 425
GCD(5, 425) = ( 5 x 425 ) / 425
= 5 / 425
= 5
Step3:
LCM(5, 165) = 165
GCD(5, 165) = ( 5 x 165 ) / 165
= 5 / 165
= 5
So, Greatest Common Divisor of 810, 575, 425, 165 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 575, 425, 165
The greatest common divisor of numbers 810, 575, 425, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 575, 425, 165 is 5.
1. What is the GCD of 810, 575, 425, 165?
GCD of given numbers 810, 575, 425, 165 is 5
2. How to calculate the greatest common divisor of 810, 575, 425, 165?
We can find the highest common divisor of 810, 575, 425, 165 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, 575, 425, 165 i.e 5.
3. How can I use the GCD of 810, 575, 425, 165Calculator?
Out the numbers 810, 575, 425, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.