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, 575, 89, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 575, 89, 649 is 1
GCD(797, 575, 89, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 575, 89, 649 is 1
GCD(797, 575, 89, 649) = 1
Given Input numbers are 797, 575, 89, 649
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 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 797, 575, 89, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 575, 89, 649 is 1.
Therefore, GCD of numbers 797, 575, 89, 649 is 1
Given Input Data is 797, 575, 89, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 89 is 89
Prime Factorization of 649 is 11 x 59
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, 575) = 458275
GCD(797, 575) = ( 797 x 575 ) / 458275
GCD(797, 575) = 458275 / 458275
GCD(797, 575) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 797, 575, 89, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 575, 89, 649?
GCD of 797, 575, 89, 649 is 1
2. Where do I get the detailed procedure to find GCD of 797, 575, 89, 649?
You can find a detailed procedure to find GCD of 797, 575, 89, 649 on our page.
3. How to find GCD of 797, 575, 89, 649 on a calculator?
You can find the GCD of 797, 575, 89, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.