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 168, 796, 77, 916 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 796, 77, 916 is 1
GCD(168, 796, 77, 916) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 796, 77, 916 is 1
GCD(168, 796, 77, 916) = 1
Given Input numbers are 168, 796, 77, 916
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Greatest Common Divisior
We found the divisors of 168, 796, 77, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 796, 77, 916 is 1.
Therefore, GCD of numbers 168, 796, 77, 916 is 1
Given Input Data is 168, 796, 77, 916
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 77 is 7 x 11
Prime Factorization of 916 is 2 x 2 x 229
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(168, 796) = 33432
GCD(168, 796) = ( 168 x 796 ) / 33432
GCD(168, 796) = 133728 / 33432
GCD(168, 796) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 77) = 308
GCD(4, 77) = ( 4 x 77 ) / 308
GCD(4, 77) = 308 / 308
GCD(4, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
GCD(1, 916) = 916 / 916
GCD(1, 916) = 1
GCD of 168, 796, 77, 916 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 796, 77, 916?
GCD of 168, 796, 77, 916 is 1
2. Where do I get the detailed procedure to find GCD of 168, 796, 77, 916?
You can find a detailed procedure to find GCD of 168, 796, 77, 916 on our page.
3. How to find GCD of 168, 796, 77, 916 on a calculator?
You can find the GCD of 168, 796, 77, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.