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, 359, 456, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 359, 456, 145 is 1
GCD(797, 359, 456, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 359, 456, 145 is 1
GCD(797, 359, 456, 145) = 1
Given Input numbers are 797, 359, 456, 145
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 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 797, 359, 456, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 359, 456, 145 is 1.
Therefore, GCD of numbers 797, 359, 456, 145 is 1
Given Input Data is 797, 359, 456, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 359 is 359
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 145 is 5 x 29
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, 359) = 286123
GCD(797, 359) = ( 797 x 359 ) / 286123
GCD(797, 359) = 286123 / 286123
GCD(797, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 797, 359, 456, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 359, 456, 145?
GCD of 797, 359, 456, 145 is 1
2. Where do I get the detailed procedure to find GCD of 797, 359, 456, 145?
You can find a detailed procedure to find GCD of 797, 359, 456, 145 on our page.
3. How to find GCD of 797, 359, 456, 145 on a calculator?
You can find the GCD of 797, 359, 456, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.