GCD of 272, 360, 176 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 272, 360, 176 quickly. Get the easiest ways to solve the greatest common divisor of 272, 360, 176 i.e 8 in different methods as follows.
Given Input numbers are 272, 360, 176
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (272, 360, 176) = 8.
Given numbers are 272, 360, 176
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The highest common occurrence is 23
Therefore, GCD of 272, 360, 176 is 8.
Steps to Calculate GCD of 272, 360, 176 using LCM Formula
Given numbers are 272, 360, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 360) = 12240
GCD(272, 360) = ( 272 x 360 ) / 12240
= 272 / 360
= 272
Step2:
LCM(8, 176) = 176
GCD(8, 176) = ( 8 x 176 ) / 176
= 8 / 176
= 8
So, Greatest Common Divisor of 272, 360, 176 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 272, 360, 176
Given numbers are 272, 360, 176
The greatest common divisor of numbers 272, 360, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 360, 176 is 8.
FAQs on GCD of 272, 360, 176 Calculator
1. What is the GCD of 272, 360, 176?
GCD of given numbers 272, 360, 176 is 8
2. How to calculate the greatest common divisor of 272, 360, 176?
We can find the highest common divisor of 272, 360, 176 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 272, 360, 176 i.e 8.
3. How can I use the GCD of 272, 360, 176Calculator?
Out the numbers 272, 360, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.