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 797, 236, 648, 256 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 236, 648, 256 is 1
GCD(797, 236, 648, 256) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 236, 648, 256 is 1
GCD(797, 236, 648, 256) = 1
Given Input numbers are 797, 236, 648, 256
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Greatest Common Divisior
We found the divisors of 797, 236, 648, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 236, 648, 256 is 1.
Therefore, GCD of numbers 797, 236, 648, 256 is 1
Given Input Data is 797, 236, 648, 256
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(797, 236) = 188092
GCD(797, 236) = ( 797 x 236 ) / 188092
GCD(797, 236) = 188092 / 188092
GCD(797, 236) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
GCD(1, 256) = 256 / 256
GCD(1, 256) = 1
GCD of 797, 236, 648, 256 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 236, 648, 256?
GCD of 797, 236, 648, 256 is 1
2. Where do I get the detailed procedure to find GCD of 797, 236, 648, 256?
You can find a detailed procedure to find GCD of 797, 236, 648, 256 on our page.
3. How to find GCD of 797, 236, 648, 256 on a calculator?
You can find the GCD of 797, 236, 648, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.