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 489, 697, 107, 930 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 697, 107, 930 is 1
GCD(489, 697, 107, 930) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 697, 107, 930 is 1
GCD(489, 697, 107, 930) = 1
Given Input numbers are 489, 697, 107, 930
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Greatest Common Divisior
We found the divisors of 489, 697, 107, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 697, 107, 930 is 1.
Therefore, GCD of numbers 489, 697, 107, 930 is 1
Given Input Data is 489, 697, 107, 930
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 697 is 17 x 41
Prime Factorization of 107 is 107
Prime Factorization of 930 is 2 x 3 x 5 x 31
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(489, 697) = 340833
GCD(489, 697) = ( 489 x 697 ) / 340833
GCD(489, 697) = 340833 / 340833
GCD(489, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
GCD of 489, 697, 107, 930 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 697, 107, 930?
GCD of 489, 697, 107, 930 is 1
2. Where do I get the detailed procedure to find GCD of 489, 697, 107, 930?
You can find a detailed procedure to find GCD of 489, 697, 107, 930 on our page.
3. How to find GCD of 489, 697, 107, 930 on a calculator?
You can find the GCD of 489, 697, 107, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.