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 663, 743, 20, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 743, 20, 487 is 1
GCD(663, 743, 20, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 743, 20, 487 is 1
GCD(663, 743, 20, 487) = 1
Given Input numbers are 663, 743, 20, 487
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
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 663, 743, 20, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 743, 20, 487 is 1.
Therefore, GCD of numbers 663, 743, 20, 487 is 1
Given Input Data is 663, 743, 20, 487
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 743 is 743
Prime Factorization of 20 is 2 x 2 x 5
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(663, 743) = 492609
GCD(663, 743) = ( 663 x 743 ) / 492609
GCD(663, 743) = 492609 / 492609
GCD(663, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 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 663, 743, 20, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 743, 20, 487?
GCD of 663, 743, 20, 487 is 1
2. Where do I get the detailed procedure to find GCD of 663, 743, 20, 487?
You can find a detailed procedure to find GCD of 663, 743, 20, 487 on our page.
3. How to find GCD of 663, 743, 20, 487 on a calculator?
You can find the GCD of 663, 743, 20, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.