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, 958, 328, 807 i.e. 1 largest integer that divides all the numbers equally.
GCD of 828, 958, 328, 807 is 1
GCD(828, 958, 328, 807) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 828, 958, 328, 807 is 1
GCD(828, 958, 328, 807) = 1
Given Input numbers are 828, 958, 328, 807
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 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Greatest Common Divisior
We found the divisors of 828, 958, 328, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 958, 328, 807 is 1.
Therefore, GCD of numbers 828, 958, 328, 807 is 1
Given Input Data is 828, 958, 328, 807
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 958 is 2 x 479
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 807 is 3 x 269
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, 958) = 396612
GCD(828, 958) = ( 828 x 958 ) / 396612
GCD(828, 958) = 793224 / 396612
GCD(828, 958) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 328) = 328
GCD(2, 328) = ( 2 x 328 ) / 328
GCD(2, 328) = 656 / 328
GCD(2, 328) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 807) = 1614
GCD(2, 807) = ( 2 x 807 ) / 1614
GCD(2, 807) = 1614 / 1614
GCD(2, 807) = 1
GCD of 828, 958, 328, 807 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 828, 958, 328, 807?
GCD of 828, 958, 328, 807 is 1
2. Where do I get the detailed procedure to find GCD of 828, 958, 328, 807?
You can find a detailed procedure to find GCD of 828, 958, 328, 807 on our page.
3. How to find GCD of 828, 958, 328, 807 on a calculator?
You can find the GCD of 828, 958, 328, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.