Online GCD Calculator is useful to find the GCD of 215, 165, 355, 115 quickly. Get the easiest ways to solve the greatest common divisor of 215, 165, 355, 115 i.e 5 in different methods as follows.
Given Input numbers are 215, 165, 355, 115
In the factoring method, we have to find the divisors of all numbers
Divisors of 215 :
The positive integer divisors of 215 that completely divides 215 are.
1, 5, 43, 215
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
GCD of numbers is the greatest common divisor
So, the GCD (215, 165, 355, 115) = 5.
Given numbers are 215, 165, 355, 115
The list of prime factors of all numbers are
Prime factors of 215 are 5 x 43
Prime factors of 165 are 3 x 5 x 11
Prime factors of 355 are 5 x 71
Prime factors of 115 are 5 x 23
The highest common occurrence is 51
Therefore, GCD of 215, 165, 355, 115 is 5.
Given numbers are 215, 165, 355, 115
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(215, 165) = 7095
GCD(215, 165) = ( 215 x 165 ) / 7095
= 215 / 165
= 215
Step2:
LCM(5, 355) = 355
GCD(5, 355) = ( 5 x 355 ) / 355
= 5 / 355
= 5
Step3:
LCM(5, 115) = 115
GCD(5, 115) = ( 5 x 115 ) / 115
= 5 / 115
= 5
So, Greatest Common Divisor of 215, 165, 355, 115 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 215, 165, 355, 115
The greatest common divisor of numbers 215, 165, 355, 115 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 215, 165, 355, 115 is 5.
1. What is the GCD of 215, 165, 355, 115?
GCD of given numbers 215, 165, 355, 115 is 5
2. How to calculate the greatest common divisor of 215, 165, 355, 115?
We can find the highest common divisor of 215, 165, 355, 115 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 215, 165, 355, 115 i.e 5.
3. How can I use the GCD of 215, 165, 355, 115Calculator?
Out the numbers 215, 165, 355, 115 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.