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 828, 919, 493, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 919, 493, 668 is 1
GCD(828, 919, 493, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 919, 493, 668 is 1
GCD(828, 919, 493, 668) = 1
Given Input numbers are 828, 919, 493, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 828, 919, 493, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 919, 493, 668 is 1.
Therefore, GCD of numbers 828, 919, 493, 668 is 1
Given Input Data is 828, 919, 493, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 919 is 919
Prime Factorization of 493 is 17 x 29
Prime Factorization of 668 is 2 x 2 x 167
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(828, 919) = 760932
GCD(828, 919) = ( 828 x 919 ) / 760932
GCD(828, 919) = 760932 / 760932
GCD(828, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 828, 919, 493, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 919, 493, 668?
GCD of 828, 919, 493, 668 is 1
2. Where do I get the detailed procedure to find GCD of 828, 919, 493, 668?
You can find a detailed procedure to find GCD of 828, 919, 493, 668 on our page.
3. How to find GCD of 828, 919, 493, 668 on a calculator?
You can find the GCD of 828, 919, 493, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.