GCD of 960, 144, 146 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 960, 144, 146 i.e. 2 largest integer that divides all the numbers equally.
GCD of 960, 144, 146 is 2
GCD(960, 144, 146) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 144, 146 is 2
GCD(960, 144, 146) = 2
GCDof 960,144,146 is 2
Given Input numbers are 960, 144, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
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
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 960, 144, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 144, 146 is 2.
Therefore, GCD of numbers 960, 144, 146 is 2
Given Input Data is 960, 144, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 146 is 2 x 73
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 960, 144, 146 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(960, 144) = 2880
GCD(960, 144) = ( 960 x 144 ) / 2880
GCD(960, 144) = 138240 / 2880
GCD(960, 144) = 48
Step2:
Here we consider the GCD from the above i.e. 48 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(48, 146) = 3504
GCD(48, 146) = ( 48 x 146 ) / 3504
GCD(48, 146) = 7008 / 3504
GCD(48, 146) = 2
GCD of 960, 144, 146 is 2
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FAQs on GCD of numbers 960, 144, 146
1. What is the GCD of 960, 144, 146?
GCD of 960, 144, 146 is 2
2. Where do I get the detailed procedure to find GCD of 960, 144, 146?
You can find a detailed procedure to find GCD of 960, 144, 146 on our page.
3. How to find GCD of 960, 144, 146 on a calculator?
You can find the GCD of 960, 144, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.