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, 336, 90, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 336, 90, 865 is 1
GCD(122, 336, 90, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 336, 90, 865 is 1
GCD(122, 336, 90, 865) = 1
Given Input numbers are 122, 336, 90, 865
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 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 122, 336, 90, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 336, 90, 865 is 1.
Therefore, GCD of numbers 122, 336, 90, 865 is 1
Given Input Data is 122, 336, 90, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 865 is 5 x 173
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, 336) = 20496
GCD(122, 336) = ( 122 x 336 ) / 20496
GCD(122, 336) = 40992 / 20496
GCD(122, 336) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
GCD(2, 90) = 180 / 90
GCD(2, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 865) = 1730
GCD(2, 865) = ( 2 x 865 ) / 1730
GCD(2, 865) = 1730 / 1730
GCD(2, 865) = 1
GCD of 122, 336, 90, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 336, 90, 865?
GCD of 122, 336, 90, 865 is 1
2. Where do I get the detailed procedure to find GCD of 122, 336, 90, 865?
You can find a detailed procedure to find GCD of 122, 336, 90, 865 on our page.
3. How to find GCD of 122, 336, 90, 865 on a calculator?
You can find the GCD of 122, 336, 90, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.