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 102, 697, 47, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 697, 47, 331 is 1
GCD(102, 697, 47, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 697, 47, 331 is 1
GCD(102, 697, 47, 331) = 1
Given Input numbers are 102, 697, 47, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 102, 697, 47, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 697, 47, 331 is 1.
Therefore, GCD of numbers 102, 697, 47, 331 is 1
Given Input Data is 102, 697, 47, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 697 is 17 x 41
Prime Factorization of 47 is 47
Prime Factorization of 331 is 331
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(102, 697) = 4182
GCD(102, 697) = ( 102 x 697 ) / 4182
GCD(102, 697) = 71094 / 4182
GCD(102, 697) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 47) = 799
GCD(17, 47) = ( 17 x 47 ) / 799
GCD(17, 47) = 799 / 799
GCD(17, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 102, 697, 47, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 697, 47, 331?
GCD of 102, 697, 47, 331 is 1
2. Where do I get the detailed procedure to find GCD of 102, 697, 47, 331?
You can find a detailed procedure to find GCD of 102, 697, 47, 331 on our page.
3. How to find GCD of 102, 697, 47, 331 on a calculator?
You can find the GCD of 102, 697, 47, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.