GCD of 165, 352, 814 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 165, 352, 814 quickly. Get the easiest ways to solve the greatest common divisor of 165, 352, 814 i.e 11 in different methods as follows.
Given Input numbers are 165, 352, 814
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 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (165, 352, 814) = 11.
Given numbers are 165, 352, 814
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 814 are 2 x 11 x 37
The highest common occurrence is 111
Therefore, GCD of 165, 352, 814 is 11.
Steps to Calculate GCD of 165, 352, 814 using LCM Formula
Given numbers are 165, 352, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 352) = 5280
GCD(165, 352) = ( 165 x 352 ) / 5280
= 165 / 352
= 165
Step2:
LCM(11, 814) = 814
GCD(11, 814) = ( 11 x 814 ) / 814
= 11 / 814
= 11
So, Greatest Common Divisor of 165, 352, 814 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 165, 352, 814
Given numbers are 165, 352, 814
The greatest common divisor of numbers 165, 352, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 352, 814 is 11.
FAQs on GCD of 165, 352, 814 Calculator
1. What is the GCD of 165, 352, 814?
GCD of given numbers 165, 352, 814 is 11
2. How to calculate the greatest common divisor of 165, 352, 814?
We can find the highest common divisor of 165, 352, 814 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, 352, 814 i.e 11.
3. How can I use the GCD of 165, 352, 814Calculator?
Out the numbers 165, 352, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.