GCD of 935, 965, 165 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 935, 965, 165 quickly. Get the easiest ways to solve the greatest common divisor of 935, 965, 165 i.e 5 in different methods as follows.
Given Input numbers are 935, 965, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 935 :
The positive integer divisors of 935 that completely divides 935 are.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
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 (935, 965, 165) = 5.
Given numbers are 935, 965, 165
The list of prime factors of all numbers are
Prime factors of 935 are 5 x 11 x 17
Prime factors of 965 are 5 x 193
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 935, 965, 165 is 5.
Steps to Calculate GCD of 935, 965, 165 using LCM Formula
Given numbers are 935, 965, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(935, 965) = 180455
GCD(935, 965) = ( 935 x 965 ) / 180455
= 935 / 965
= 935
Step2:
LCM(5, 165) = 165
GCD(5, 165) = ( 5 x 165 ) / 165
= 5 / 165
= 5
So, Greatest Common Divisor of 935, 965, 165 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 935, 965, 165
Given numbers are 935, 965, 165
The greatest common divisor of numbers 935, 965, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 935, 965, 165 is 5.
FAQs on GCD of 935, 965, 165 Calculator
1. What is the GCD of 935, 965, 165?
GCD of given numbers 935, 965, 165 is 5
2. How to calculate the greatest common divisor of 935, 965, 165?
We can find the highest common divisor of 935, 965, 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 935, 965, 165 i.e 5.
3. How can I use the GCD of 935, 965, 165Calculator?
Out the numbers 935, 965, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.