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 496, 801, 789, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 801, 789, 195 is 1
GCD(496, 801, 789, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 801, 789, 195 is 1
GCD(496, 801, 789, 195) = 1
Given Input numbers are 496, 801, 789, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 496, 801, 789, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 801, 789, 195 is 1.
Therefore, GCD of numbers 496, 801, 789, 195 is 1
Given Input Data is 496, 801, 789, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 789 is 3 x 263
Prime Factorization of 195 is 3 x 5 x 13
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(496, 801) = 397296
GCD(496, 801) = ( 496 x 801 ) / 397296
GCD(496, 801) = 397296 / 397296
GCD(496, 801) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 496, 801, 789, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 801, 789, 195?
GCD of 496, 801, 789, 195 is 1
2. Where do I get the detailed procedure to find GCD of 496, 801, 789, 195?
You can find a detailed procedure to find GCD of 496, 801, 789, 195 on our page.
3. How to find GCD of 496, 801, 789, 195 on a calculator?
You can find the GCD of 496, 801, 789, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.