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 793, 800, 146, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 800, 146, 746 is 1
GCD(793, 800, 146, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 800, 146, 746 is 1
GCD(793, 800, 146, 746) = 1
Given Input numbers are 793, 800, 146, 746
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 793, 800, 146, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 800, 146, 746 is 1.
Therefore, GCD of numbers 793, 800, 146, 746 is 1
Given Input Data is 793, 800, 146, 746
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 146 is 2 x 73
Prime Factorization of 746 is 2 x 373
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(793, 800) = 634400
GCD(793, 800) = ( 793 x 800 ) / 634400
GCD(793, 800) = 634400 / 634400
GCD(793, 800) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 793, 800, 146, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 800, 146, 746?
GCD of 793, 800, 146, 746 is 1
2. Where do I get the detailed procedure to find GCD of 793, 800, 146, 746?
You can find a detailed procedure to find GCD of 793, 800, 146, 746 on our page.
3. How to find GCD of 793, 800, 146, 746 on a calculator?
You can find the GCD of 793, 800, 146, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.