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 338, 863, 154, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 863, 154, 122 is 1
GCD(338, 863, 154, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 863, 154, 122 is 1
GCD(338, 863, 154, 122) = 1
Given Input numbers are 338, 863, 154, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
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 338, 863, 154, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 863, 154, 122 is 1.
Therefore, GCD of numbers 338, 863, 154, 122 is 1
Given Input Data is 338, 863, 154, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 863 is 863
Prime Factorization of 154 is 2 x 7 x 11
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(338, 863) = 291694
GCD(338, 863) = ( 338 x 863 ) / 291694
GCD(338, 863) = 291694 / 291694
GCD(338, 863) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 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 338, 863, 154, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 863, 154, 122?
GCD of 338, 863, 154, 122 is 1
2. Where do I get the detailed procedure to find GCD of 338, 863, 154, 122?
You can find a detailed procedure to find GCD of 338, 863, 154, 122 on our page.
3. How to find GCD of 338, 863, 154, 122 on a calculator?
You can find the GCD of 338, 863, 154, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.