Online GCD Calculator is useful to find the GCD of 170, 465, 665, 165 quickly. Get the easiest ways to solve the greatest common divisor of 170, 465, 665, 165 i.e 5 in different methods as follows.
Given Input numbers are 170, 465, 665, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
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 (170, 465, 665, 165) = 5.
Given numbers are 170, 465, 665, 165
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 465 are 3 x 5 x 31
Prime factors of 665 are 5 x 7 x 19
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 170, 465, 665, 165 is 5.
Given numbers are 170, 465, 665, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 465) = 15810
GCD(170, 465) = ( 170 x 465 ) / 15810
= 170 / 465
= 170
Step2:
LCM(5, 665) = 665
GCD(5, 665) = ( 5 x 665 ) / 665
= 5 / 665
= 5
Step3:
LCM(5, 165) = 165
GCD(5, 165) = ( 5 x 165 ) / 165
= 5 / 165
= 5
So, Greatest Common Divisor of 170, 465, 665, 165 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 465, 665, 165
The greatest common divisor of numbers 170, 465, 665, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 465, 665, 165 is 5.
1. What is the GCD of 170, 465, 665, 165?
GCD of given numbers 170, 465, 665, 165 is 5
2. How to calculate the greatest common divisor of 170, 465, 665, 165?
We can find the highest common divisor of 170, 465, 665, 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 170, 465, 665, 165 i.e 5.
3. How can I use the GCD of 170, 465, 665, 165Calculator?
Out the numbers 170, 465, 665, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.