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 122, 261, 282 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 261, 282 is 1
GCD(122, 261, 282) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 261, 282 is 1
GCD(122, 261, 282) = 1
Given Input numbers are 122, 261, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 122, 261, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 261, 282 is 1.
Therefore, GCD of numbers 122, 261, 282 is 1
Given Input Data is 122, 261, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 282 is 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
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(122, 261) = 31842
GCD(122, 261) = ( 122 x 261 ) / 31842
GCD(122, 261) = 31842 / 31842
GCD(122, 261) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
GCD(1, 282) = 282 / 282
GCD(1, 282) = 1
GCD of 122, 261, 282 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 261, 282?
GCD of 122, 261, 282 is 1
2. Where do I get the detailed procedure to find GCD of 122, 261, 282?
You can find a detailed procedure to find GCD of 122, 261, 282 on our page.
3. How to find GCD of 122, 261, 282 on a calculator?
You can find the GCD of 122, 261, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.