GCD of 160, 112, 960 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 160, 112, 960 quickly. Get the easiest ways to solve the greatest common divisor of 160, 112, 960 i.e 16 in different methods as follows.
Given Input numbers are 160, 112, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (160, 112, 960) = 16.
Given numbers are 160, 112, 960
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 24
Therefore, GCD of 160, 112, 960 is 16.
Steps to Calculate GCD of 160, 112, 960 using LCM Formula
Given numbers are 160, 112, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 112) = 1120
GCD(160, 112) = ( 160 x 112 ) / 1120
= 160 / 112
= 160
Step2:
LCM(16, 960) = 960
GCD(16, 960) = ( 16 x 960 ) / 960
= 16 / 960
= 16
So, Greatest Common Divisor of 160, 112, 960 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 160, 112, 960
Given numbers are 160, 112, 960
The greatest common divisor of numbers 160, 112, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 112, 960 is 16.
FAQs on GCD of 160, 112, 960 Calculator
1. What is the GCD of 160, 112, 960?
GCD of given numbers 160, 112, 960 is 16
2. How to calculate the greatest common divisor of 160, 112, 960?
We can find the highest common divisor of 160, 112, 960 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 160, 112, 960 i.e 16.
3. How can I use the GCD of 160, 112, 960Calculator?
Out the numbers 160, 112, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.