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 807, 108, 328, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 108, 328, 771 is 1
GCD(807, 108, 328, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 108, 328, 771 is 1
GCD(807, 108, 328, 771) = 1
Given Input numbers are 807, 108, 328, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 807, 108, 328, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 108, 328, 771 is 1.
Therefore, GCD of numbers 807, 108, 328, 771 is 1
Given Input Data is 807, 108, 328, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 771 is 3 x 257
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(807, 108) = 29052
GCD(807, 108) = ( 807 x 108 ) / 29052
GCD(807, 108) = 87156 / 29052
GCD(807, 108) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 328) = 984
GCD(3, 328) = ( 3 x 328 ) / 984
GCD(3, 328) = 984 / 984
GCD(3, 328) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 807, 108, 328, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 108, 328, 771?
GCD of 807, 108, 328, 771 is 1
2. Where do I get the detailed procedure to find GCD of 807, 108, 328, 771?
You can find a detailed procedure to find GCD of 807, 108, 328, 771 on our page.
3. How to find GCD of 807, 108, 328, 771 on a calculator?
You can find the GCD of 807, 108, 328, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.