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, 516, 688, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 516, 688, 616 is 1
GCD(489, 516, 688, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 516, 688, 616 is 1
GCD(489, 516, 688, 616) = 1
Given Input numbers are 489, 516, 688, 616
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 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 489, 516, 688, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 516, 688, 616 is 1.
Therefore, GCD of numbers 489, 516, 688, 616 is 1
Given Input Data is 489, 516, 688, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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, 516) = 84108
GCD(489, 516) = ( 489 x 516 ) / 84108
GCD(489, 516) = 252324 / 84108
GCD(489, 516) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 688) = 2064
GCD(3, 688) = ( 3 x 688 ) / 2064
GCD(3, 688) = 2064 / 2064
GCD(3, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 489, 516, 688, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 516, 688, 616?
GCD of 489, 516, 688, 616 is 1
2. Where do I get the detailed procedure to find GCD of 489, 516, 688, 616?
You can find a detailed procedure to find GCD of 489, 516, 688, 616 on our page.
3. How to find GCD of 489, 516, 688, 616 on a calculator?
You can find the GCD of 489, 516, 688, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.