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 76, 370, 511, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 370, 511, 808 is 1
GCD(76, 370, 511, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 370, 511, 808 is 1
GCD(76, 370, 511, 808) = 1
Given Input numbers are 76, 370, 511, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 76, 370, 511, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 370, 511, 808 is 1.
Therefore, GCD of numbers 76, 370, 511, 808 is 1
Given Input Data is 76, 370, 511, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 511 is 7 x 73
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(76, 370) = 14060
GCD(76, 370) = ( 76 x 370 ) / 14060
GCD(76, 370) = 28120 / 14060
GCD(76, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 511) = 1022
GCD(2, 511) = ( 2 x 511 ) / 1022
GCD(2, 511) = 1022 / 1022
GCD(2, 511) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 76, 370, 511, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 370, 511, 808?
GCD of 76, 370, 511, 808 is 1
2. Where do I get the detailed procedure to find GCD of 76, 370, 511, 808?
You can find a detailed procedure to find GCD of 76, 370, 511, 808 on our page.
3. How to find GCD of 76, 370, 511, 808 on a calculator?
You can find the GCD of 76, 370, 511, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.