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 470, 489, 410, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 489, 410, 487 is 1
GCD(470, 489, 410, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 489, 410, 487 is 1
GCD(470, 489, 410, 487) = 1
Given Input numbers are 470, 489, 410, 487
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Greatest Common Divisior
We found the divisors of 470, 489, 410, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 489, 410, 487 is 1.
Therefore, GCD of numbers 470, 489, 410, 487 is 1
Given Input Data is 470, 489, 410, 487
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 489 is 3 x 163
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 487 is 487
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(470, 489) = 229830
GCD(470, 489) = ( 470 x 489 ) / 229830
GCD(470, 489) = 229830 / 229830
GCD(470, 489) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
GCD of 470, 489, 410, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 489, 410, 487?
GCD of 470, 489, 410, 487 is 1
2. Where do I get the detailed procedure to find GCD of 470, 489, 410, 487?
You can find a detailed procedure to find GCD of 470, 489, 410, 487 on our page.
3. How to find GCD of 470, 489, 410, 487 on a calculator?
You can find the GCD of 470, 489, 410, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.