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, 618, 20, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 618, 20, 705 is 1
GCD(489, 618, 20, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 618, 20, 705 is 1
GCD(489, 618, 20, 705) = 1
Given Input numbers are 489, 618, 20, 705
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 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 489, 618, 20, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 618, 20, 705 is 1.
Therefore, GCD of numbers 489, 618, 20, 705 is 1
Given Input Data is 489, 618, 20, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 705 is 3 x 5 x 47
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, 618) = 100734
GCD(489, 618) = ( 489 x 618 ) / 100734
GCD(489, 618) = 302202 / 100734
GCD(489, 618) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
GCD(3, 20) = 60 / 60
GCD(3, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
GCD of 489, 618, 20, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 618, 20, 705?
GCD of 489, 618, 20, 705 is 1
2. Where do I get the detailed procedure to find GCD of 489, 618, 20, 705?
You can find a detailed procedure to find GCD of 489, 618, 20, 705 on our page.
3. How to find GCD of 489, 618, 20, 705 on a calculator?
You can find the GCD of 489, 618, 20, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.