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 796, 982, 821, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 796, 982, 821, 340 is 1
GCD(796, 982, 821, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 982, 821, 340 is 1
GCD(796, 982, 821, 340) = 1
Given Input numbers are 796, 982, 821, 340
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 796, 982, 821, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 982, 821, 340 is 1.
Therefore, GCD of numbers 796, 982, 821, 340 is 1
Given Input Data is 796, 982, 821, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 982 is 2 x 491
Prime Factorization of 821 is 821
Prime Factorization of 340 is 2 x 2 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(796, 982) = 390836
GCD(796, 982) = ( 796 x 982 ) / 390836
GCD(796, 982) = 781672 / 390836
GCD(796, 982) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
GCD(2, 821) = 1642 / 1642
GCD(2, 821) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 796, 982, 821, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 982, 821, 340?
GCD of 796, 982, 821, 340 is 1
2. Where do I get the detailed procedure to find GCD of 796, 982, 821, 340?
You can find a detailed procedure to find GCD of 796, 982, 821, 340 on our page.
3. How to find GCD of 796, 982, 821, 340 on a calculator?
You can find the GCD of 796, 982, 821, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.