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, 713, 39, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 713, 39, 125 is 1
GCD(122, 713, 39, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 713, 39, 125 is 1
GCD(122, 713, 39, 125) = 1
Given Input numbers are 122, 713, 39, 125
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 122, 713, 39, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 713, 39, 125 is 1.
Therefore, GCD of numbers 122, 713, 39, 125 is 1
Given Input Data is 122, 713, 39, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 713 is 23 x 31
Prime Factorization of 39 is 3 x 13
Prime Factorization of 125 is 5 x 5 x 5
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, 713) = 86986
GCD(122, 713) = ( 122 x 713 ) / 86986
GCD(122, 713) = 86986 / 86986
GCD(122, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 122, 713, 39, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 713, 39, 125?
GCD of 122, 713, 39, 125 is 1
2. Where do I get the detailed procedure to find GCD of 122, 713, 39, 125?
You can find a detailed procedure to find GCD of 122, 713, 39, 125 on our page.
3. How to find GCD of 122, 713, 39, 125 on a calculator?
You can find the GCD of 122, 713, 39, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.