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 823, 842, 767, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 842, 767, 743 is 1
GCD(823, 842, 767, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 842, 767, 743 is 1
GCD(823, 842, 767, 743) = 1
Given Input numbers are 823, 842, 767, 743
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 823, 842, 767, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 842, 767, 743 is 1.
Therefore, GCD of numbers 823, 842, 767, 743 is 1
Given Input Data is 823, 842, 767, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 842 is 2 x 421
Prime Factorization of 767 is 13 x 59
Prime Factorization of 743 is 743
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(823, 842) = 692966
GCD(823, 842) = ( 823 x 842 ) / 692966
GCD(823, 842) = 692966 / 692966
GCD(823, 842) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 823, 842, 767, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 842, 767, 743?
GCD of 823, 842, 767, 743 is 1
2. Where do I get the detailed procedure to find GCD of 823, 842, 767, 743?
You can find a detailed procedure to find GCD of 823, 842, 767, 743 on our page.
3. How to find GCD of 823, 842, 767, 743 on a calculator?
You can find the GCD of 823, 842, 767, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.