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 721, 796, 40, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 796, 40, 425 is 1
GCD(721, 796, 40, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 796, 40, 425 is 1
GCD(721, 796, 40, 425) = 1
Given Input numbers are 721, 796, 40, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 721, 796, 40, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 796, 40, 425 is 1.
Therefore, GCD of numbers 721, 796, 40, 425 is 1
Given Input Data is 721, 796, 40, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 425 is 5 x 5 x 17
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(721, 796) = 573916
GCD(721, 796) = ( 721 x 796 ) / 573916
GCD(721, 796) = 573916 / 573916
GCD(721, 796) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 721, 796, 40, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 796, 40, 425?
GCD of 721, 796, 40, 425 is 1
2. Where do I get the detailed procedure to find GCD of 721, 796, 40, 425?
You can find a detailed procedure to find GCD of 721, 796, 40, 425 on our page.
3. How to find GCD of 721, 796, 40, 425 on a calculator?
You can find the GCD of 721, 796, 40, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.