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 838, 126, 122, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 126, 122, 153 is 1
GCD(838, 126, 122, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 126, 122, 153 is 1
GCD(838, 126, 122, 153) = 1
Given Input numbers are 838, 126, 122, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 838, 126, 122, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 126, 122, 153 is 1.
Therefore, GCD of numbers 838, 126, 122, 153 is 1
Given Input Data is 838, 126, 122, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 122 is 2 x 61
Prime Factorization of 153 is 3 x 3 x 17
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(838, 126) = 52794
GCD(838, 126) = ( 838 x 126 ) / 52794
GCD(838, 126) = 105588 / 52794
GCD(838, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
GCD(2, 122) = 244 / 122
GCD(2, 122) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 153) = 306
GCD(2, 153) = ( 2 x 153 ) / 306
GCD(2, 153) = 306 / 306
GCD(2, 153) = 1
GCD of 838, 126, 122, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 126, 122, 153?
GCD of 838, 126, 122, 153 is 1
2. Where do I get the detailed procedure to find GCD of 838, 126, 122, 153?
You can find a detailed procedure to find GCD of 838, 126, 122, 153 on our page.
3. How to find GCD of 838, 126, 122, 153 on a calculator?
You can find the GCD of 838, 126, 122, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.