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, 952, 843, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 796, 952, 843, 892 is 1
GCD(796, 952, 843, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 952, 843, 892 is 1
GCD(796, 952, 843, 892) = 1
Given Input numbers are 796, 952, 843, 892
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 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 796, 952, 843, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 952, 843, 892 is 1.
Therefore, GCD of numbers 796, 952, 843, 892 is 1
Given Input Data is 796, 952, 843, 892
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 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 843 is 3 x 281
Prime Factorization of 892 is 2 x 2 x 223
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, 952) = 189448
GCD(796, 952) = ( 796 x 952 ) / 189448
GCD(796, 952) = 757792 / 189448
GCD(796, 952) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 843) = 3372
GCD(4, 843) = ( 4 x 843 ) / 3372
GCD(4, 843) = 3372 / 3372
GCD(4, 843) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 796, 952, 843, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 952, 843, 892?
GCD of 796, 952, 843, 892 is 1
2. Where do I get the detailed procedure to find GCD of 796, 952, 843, 892?
You can find a detailed procedure to find GCD of 796, 952, 843, 892 on our page.
3. How to find GCD of 796, 952, 843, 892 on a calculator?
You can find the GCD of 796, 952, 843, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.