GCD of 221, 960, 82 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 221, 960, 82 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 960, 82 is 1
GCD(221, 960, 82) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 960, 82 is 1
GCD(221, 960, 82) = 1
GCDof 221,960,82 is 1
Given Input numbers are 221, 960, 82
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
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 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Greatest Common Divisior
We found the divisors of 221, 960, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 960, 82 is 1.
Therefore, GCD of numbers 221, 960, 82 is 1
Given Input Data is 221, 960, 82
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 82 is 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 221, 960, 82 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(221, 960) = 212160
GCD(221, 960) = ( 221 x 960 ) / 212160
GCD(221, 960) = 212160 / 212160
GCD(221, 960) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
GCD of 221, 960, 82 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 221, 960, 82
1. What is the GCD of 221, 960, 82?
GCD of 221, 960, 82 is 1
2. Where do I get the detailed procedure to find GCD of 221, 960, 82?
You can find a detailed procedure to find GCD of 221, 960, 82 on our page.
3. How to find GCD of 221, 960, 82 on a calculator?
You can find the GCD of 221, 960, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.