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 811, 738, 121, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 811, 738, 121, 508 is 1
GCD(811, 738, 121, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 811, 738, 121, 508 is 1
GCD(811, 738, 121, 508) = 1
Given Input numbers are 811, 738, 121, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 811, 738, 121, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 811, 738, 121, 508 is 1.
Therefore, GCD of numbers 811, 738, 121, 508 is 1
Given Input Data is 811, 738, 121, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 811 is 811
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 121 is 11 x 11
Prime Factorization of 508 is 2 x 2 x 127
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(811, 738) = 598518
GCD(811, 738) = ( 811 x 738 ) / 598518
GCD(811, 738) = 598518 / 598518
GCD(811, 738) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 811, 738, 121, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 811, 738, 121, 508?
GCD of 811, 738, 121, 508 is 1
2. Where do I get the detailed procedure to find GCD of 811, 738, 121, 508?
You can find a detailed procedure to find GCD of 811, 738, 121, 508 on our page.
3. How to find GCD of 811, 738, 121, 508 on a calculator?
You can find the GCD of 811, 738, 121, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.