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, 339, 865, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 339, 865, 742 is 1
GCD(122, 339, 865, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 339, 865, 742 is 1
GCD(122, 339, 865, 742) = 1
Given Input numbers are 122, 339, 865, 742
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 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 122, 339, 865, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 339, 865, 742 is 1.
Therefore, GCD of numbers 122, 339, 865, 742 is 1
Given Input Data is 122, 339, 865, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 339 is 3 x 113
Prime Factorization of 865 is 5 x 173
Prime Factorization of 742 is 2 x 7 x 53
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, 339) = 41358
GCD(122, 339) = ( 122 x 339 ) / 41358
GCD(122, 339) = 41358 / 41358
GCD(122, 339) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 122, 339, 865, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 339, 865, 742?
GCD of 122, 339, 865, 742 is 1
2. Where do I get the detailed procedure to find GCD of 122, 339, 865, 742?
You can find a detailed procedure to find GCD of 122, 339, 865, 742 on our page.
3. How to find GCD of 122, 339, 865, 742 on a calculator?
You can find the GCD of 122, 339, 865, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.