Online GCD Calculator is useful to find the GCD of 165, 395, 870, 605 quickly. Get the easiest ways to solve the greatest common divisor of 165, 395, 870, 605 i.e 5 in different methods as follows.
Given Input numbers are 165, 395, 870, 605
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 395 :
The positive integer divisors of 395 that completely divides 395 are.
1, 5, 79, 395
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 605 :
The positive integer divisors of 605 that completely divides 605 are.
1, 5, 11, 55, 121, 605
GCD of numbers is the greatest common divisor
So, the GCD (165, 395, 870, 605) = 5.
Given numbers are 165, 395, 870, 605
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 395 are 5 x 79
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 605 are 5 x 11 x 11
The highest common occurrence is 51
Therefore, GCD of 165, 395, 870, 605 is 5.
Given numbers are 165, 395, 870, 605
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 395) = 13035
GCD(165, 395) = ( 165 x 395 ) / 13035
= 165 / 395
= 165
Step2:
LCM(5, 870) = 870
GCD(5, 870) = ( 5 x 870 ) / 870
= 5 / 870
= 5
Step3:
LCM(5, 605) = 605
GCD(5, 605) = ( 5 x 605 ) / 605
= 5 / 605
= 5
So, Greatest Common Divisor of 165, 395, 870, 605 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 395, 870, 605
The greatest common divisor of numbers 165, 395, 870, 605 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 395, 870, 605 is 5.
1. What is the GCD of 165, 395, 870, 605?
GCD of given numbers 165, 395, 870, 605 is 5
2. How to calculate the greatest common divisor of 165, 395, 870, 605?
We can find the highest common divisor of 165, 395, 870, 605 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 165, 395, 870, 605 i.e 5.
3. How can I use the GCD of 165, 395, 870, 605Calculator?
Out the numbers 165, 395, 870, 605 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.