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 802, 683, 61, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 802, 683, 61, 823 is 1
GCD(802, 683, 61, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 802, 683, 61, 823 is 1
GCD(802, 683, 61, 823) = 1
Given Input numbers are 802, 683, 61, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 802, 683, 61, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 683, 61, 823 is 1.
Therefore, GCD of numbers 802, 683, 61, 823 is 1
Given Input Data is 802, 683, 61, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 802 is 2 x 401
Prime Factorization of 683 is 683
Prime Factorization of 61 is 61
Prime Factorization of 823 is 823
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(802, 683) = 547766
GCD(802, 683) = ( 802 x 683 ) / 547766
GCD(802, 683) = 547766 / 547766
GCD(802, 683) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 802, 683, 61, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 802, 683, 61, 823?
GCD of 802, 683, 61, 823 is 1
2. Where do I get the detailed procedure to find GCD of 802, 683, 61, 823?
You can find a detailed procedure to find GCD of 802, 683, 61, 823 on our page.
3. How to find GCD of 802, 683, 61, 823 on a calculator?
You can find the GCD of 802, 683, 61, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.