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 99, 437, 460, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 437, 460, 122 is 1
GCD(99, 437, 460, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 437, 460, 122 is 1
GCD(99, 437, 460, 122) = 1
Given Input numbers are 99, 437, 460, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 99, 437, 460, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 437, 460, 122 is 1.
Therefore, GCD of numbers 99, 437, 460, 122 is 1
Given Input Data is 99, 437, 460, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 437 is 19 x 23
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 122 is 2 x 61
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(99, 437) = 43263
GCD(99, 437) = ( 99 x 437 ) / 43263
GCD(99, 437) = 43263 / 43263
GCD(99, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
GCD of 99, 437, 460, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 437, 460, 122?
GCD of 99, 437, 460, 122 is 1
2. Where do I get the detailed procedure to find GCD of 99, 437, 460, 122?
You can find a detailed procedure to find GCD of 99, 437, 460, 122 on our page.
3. How to find GCD of 99, 437, 460, 122 on a calculator?
You can find the GCD of 99, 437, 460, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.