GCD of 176, 165, 880 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 176, 165, 880 quickly. Get the easiest ways to solve the greatest common divisor of 176, 165, 880 i.e 11 in different methods as follows.
Given Input numbers are 176, 165, 880
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (176, 165, 880) = 11.
Given numbers are 176, 165, 880
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 165 are 3 x 5 x 11
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 176, 165, 880 is 11.
Steps to Calculate GCD of 176, 165, 880 using LCM Formula
Given numbers are 176, 165, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 165) = 2640
GCD(176, 165) = ( 176 x 165 ) / 2640
= 176 / 165
= 176
Step2:
LCM(11, 880) = 880
GCD(11, 880) = ( 11 x 880 ) / 880
= 11 / 880
= 11
So, Greatest Common Divisor of 176, 165, 880 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 176, 165, 880
Given numbers are 176, 165, 880
The greatest common divisor of numbers 176, 165, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 165, 880 is 11.
FAQs on GCD of 176, 165, 880 Calculator
1. What is the GCD of 176, 165, 880?
GCD of given numbers 176, 165, 880 is 11
2. How to calculate the greatest common divisor of 176, 165, 880?
We can find the highest common divisor of 176, 165, 880 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 176, 165, 880 i.e 11.
3. How can I use the GCD of 176, 165, 880Calculator?
Out the numbers 176, 165, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.