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 26, 805, 752, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 805, 752, 178 is 1
GCD(26, 805, 752, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 805, 752, 178 is 1
GCD(26, 805, 752, 178) = 1
Given Input numbers are 26, 805, 752, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 26, 805, 752, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 805, 752, 178 is 1.
Therefore, GCD of numbers 26, 805, 752, 178 is 1
Given Input Data is 26, 805, 752, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 178 is 2 x 89
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(26, 805) = 20930
GCD(26, 805) = ( 26 x 805 ) / 20930
GCD(26, 805) = 20930 / 20930
GCD(26, 805) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
Step3:
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
GCD of 26, 805, 752, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 805, 752, 178?
GCD of 26, 805, 752, 178 is 1
2. Where do I get the detailed procedure to find GCD of 26, 805, 752, 178?
You can find a detailed procedure to find GCD of 26, 805, 752, 178 on our page.
3. How to find GCD of 26, 805, 752, 178 on a calculator?
You can find the GCD of 26, 805, 752, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.