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 668, 820, 419, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 668, 820, 419, 728 is 1
GCD(668, 820, 419, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 820, 419, 728 is 1
GCD(668, 820, 419, 728) = 1
Given Input numbers are 668, 820, 419, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 668, 820, 419, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 820, 419, 728 is 1.
Therefore, GCD of numbers 668, 820, 419, 728 is 1
Given Input Data is 668, 820, 419, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 419 is 419
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(668, 820) = 136940
GCD(668, 820) = ( 668 x 820 ) / 136940
GCD(668, 820) = 547760 / 136940
GCD(668, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 419) = 1676
GCD(4, 419) = ( 4 x 419 ) / 1676
GCD(4, 419) = 1676 / 1676
GCD(4, 419) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 668, 820, 419, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 820, 419, 728?
GCD of 668, 820, 419, 728 is 1
2. Where do I get the detailed procedure to find GCD of 668, 820, 419, 728?
You can find a detailed procedure to find GCD of 668, 820, 419, 728 on our page.
3. How to find GCD of 668, 820, 419, 728 on a calculator?
You can find the GCD of 668, 820, 419, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.