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 268, 567, 178, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 567, 178, 796 is 1
GCD(268, 567, 178, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 567, 178, 796 is 1
GCD(268, 567, 178, 796) = 1
Given Input numbers are 268, 567, 178, 796
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 268, 567, 178, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 567, 178, 796 is 1.
Therefore, GCD of numbers 268, 567, 178, 796 is 1
Given Input Data is 268, 567, 178, 796
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 178 is 2 x 89
Prime Factorization of 796 is 2 x 2 x 199
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(268, 567) = 151956
GCD(268, 567) = ( 268 x 567 ) / 151956
GCD(268, 567) = 151956 / 151956
GCD(268, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 268, 567, 178, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 567, 178, 796?
GCD of 268, 567, 178, 796 is 1
2. Where do I get the detailed procedure to find GCD of 268, 567, 178, 796?
You can find a detailed procedure to find GCD of 268, 567, 178, 796 on our page.
3. How to find GCD of 268, 567, 178, 796 on a calculator?
You can find the GCD of 268, 567, 178, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.