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 317, 701, 47, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 701, 47, 122 is 1
GCD(317, 701, 47, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 701, 47, 122 is 1
GCD(317, 701, 47, 122) = 1
Given Input numbers are 317, 701, 47, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
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 317, 701, 47, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 701, 47, 122 is 1.
Therefore, GCD of numbers 317, 701, 47, 122 is 1
Given Input Data is 317, 701, 47, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 701 is 701
Prime Factorization of 47 is 47
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(317, 701) = 222217
GCD(317, 701) = ( 317 x 701 ) / 222217
GCD(317, 701) = 222217 / 222217
GCD(317, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 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 317, 701, 47, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 701, 47, 122?
GCD of 317, 701, 47, 122 is 1
2. Where do I get the detailed procedure to find GCD of 317, 701, 47, 122?
You can find a detailed procedure to find GCD of 317, 701, 47, 122 on our page.
3. How to find GCD of 317, 701, 47, 122 on a calculator?
You can find the GCD of 317, 701, 47, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.