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 808, 758, 38, 597 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 758, 38, 597 is 1
GCD(808, 758, 38, 597) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 758, 38, 597 is 1
GCD(808, 758, 38, 597) = 1
Given Input numbers are 808, 758, 38, 597
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Greatest Common Divisior
We found the divisors of 808, 758, 38, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 758, 38, 597 is 1.
Therefore, GCD of numbers 808, 758, 38, 597 is 1
Given Input Data is 808, 758, 38, 597
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 758 is 2 x 379
Prime Factorization of 38 is 2 x 19
Prime Factorization of 597 is 3 x 199
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(808, 758) = 306232
GCD(808, 758) = ( 808 x 758 ) / 306232
GCD(808, 758) = 612464 / 306232
GCD(808, 758) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
GCD(2, 38) = 76 / 38
GCD(2, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 597) = 1194
GCD(2, 597) = ( 2 x 597 ) / 1194
GCD(2, 597) = 1194 / 1194
GCD(2, 597) = 1
GCD of 808, 758, 38, 597 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 758, 38, 597?
GCD of 808, 758, 38, 597 is 1
2. Where do I get the detailed procedure to find GCD of 808, 758, 38, 597?
You can find a detailed procedure to find GCD of 808, 758, 38, 597 on our page.
3. How to find GCD of 808, 758, 38, 597 on a calculator?
You can find the GCD of 808, 758, 38, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.