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 371, 631, 909, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 631, 909, 102 is 1
GCD(371, 631, 909, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 631, 909, 102 is 1
GCD(371, 631, 909, 102) = 1
Given Input numbers are 371, 631, 909, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 371, 631, 909, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 631, 909, 102 is 1.
Therefore, GCD of numbers 371, 631, 909, 102 is 1
Given Input Data is 371, 631, 909, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 631 is 631
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 102 is 2 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(371, 631) = 234101
GCD(371, 631) = ( 371 x 631 ) / 234101
GCD(371, 631) = 234101 / 234101
GCD(371, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
GCD(1, 909) = 909 / 909
GCD(1, 909) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 371, 631, 909, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 631, 909, 102?
GCD of 371, 631, 909, 102 is 1
2. Where do I get the detailed procedure to find GCD of 371, 631, 909, 102?
You can find a detailed procedure to find GCD of 371, 631, 909, 102 on our page.
3. How to find GCD of 371, 631, 909, 102 on a calculator?
You can find the GCD of 371, 631, 909, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.