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 800, 327, 67, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 327, 67, 976 is 1
GCD(800, 327, 67, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 327, 67, 976 is 1
GCD(800, 327, 67, 976) = 1
Given Input numbers are 800, 327, 67, 976
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Greatest Common Divisior
We found the divisors of 800, 327, 67, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 327, 67, 976 is 1.
Therefore, GCD of numbers 800, 327, 67, 976 is 1
Given Input Data is 800, 327, 67, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 327 is 3 x 109
Prime Factorization of 67 is 67
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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(800, 327) = 261600
GCD(800, 327) = ( 800 x 327 ) / 261600
GCD(800, 327) = 261600 / 261600
GCD(800, 327) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 800, 327, 67, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 327, 67, 976?
GCD of 800, 327, 67, 976 is 1
2. Where do I get the detailed procedure to find GCD of 800, 327, 67, 976?
You can find a detailed procedure to find GCD of 800, 327, 67, 976 on our page.
3. How to find GCD of 800, 327, 67, 976 on a calculator?
You can find the GCD of 800, 327, 67, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.