GCD of 176, 736, 120 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 176, 736, 120 quickly. Get the easiest ways to solve the greatest common divisor of 176, 736, 120 i.e 8 in different methods as follows.
Given Input numbers are 176, 736, 120
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 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (176, 736, 120) = 8.
Given numbers are 176, 736, 120
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 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 23
Therefore, GCD of 176, 736, 120 is 8.
Steps to Calculate GCD of 176, 736, 120 using LCM Formula
Given numbers are 176, 736, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 736) = 8096
GCD(176, 736) = ( 176 x 736 ) / 8096
= 176 / 736
= 176
Step2:
LCM(16, 120) = 240
GCD(16, 120) = ( 16 x 120 ) / 240
= 16 / 120
= 16
So, Greatest Common Divisor of 176, 736, 120 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 176, 736, 120
Given numbers are 176, 736, 120
The greatest common divisor of numbers 176, 736, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 736, 120 is 8.
FAQs on GCD of 176, 736, 120 Calculator
1. What is the GCD of 176, 736, 120?
GCD of given numbers 176, 736, 120 is 8
2. How to calculate the greatest common divisor of 176, 736, 120?
We can find the highest common divisor of 176, 736, 120 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, 736, 120 i.e 8.
3. How can I use the GCD of 176, 736, 120Calculator?
Out the numbers 176, 736, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.