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 402, 122, 360, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 122, 360, 843 is 1
GCD(402, 122, 360, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 122, 360, 843 is 1
GCD(402, 122, 360, 843) = 1
Given Input numbers are 402, 122, 360, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 402, 122, 360, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 122, 360, 843 is 1.
Therefore, GCD of numbers 402, 122, 360, 843 is 1
Given Input Data is 402, 122, 360, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 122 is 2 x 61
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 843 is 3 x 281
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(402, 122) = 24522
GCD(402, 122) = ( 402 x 122 ) / 24522
GCD(402, 122) = 49044 / 24522
GCD(402, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
GCD(2, 360) = 720 / 360
GCD(2, 360) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 843) = 1686
GCD(2, 843) = ( 2 x 843 ) / 1686
GCD(2, 843) = 1686 / 1686
GCD(2, 843) = 1
GCD of 402, 122, 360, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 122, 360, 843?
GCD of 402, 122, 360, 843 is 1
2. Where do I get the detailed procedure to find GCD of 402, 122, 360, 843?
You can find a detailed procedure to find GCD of 402, 122, 360, 843 on our page.
3. How to find GCD of 402, 122, 360, 843 on a calculator?
You can find the GCD of 402, 122, 360, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.