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, 266, 174, 803 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 266, 174, 803 is 1
GCD(26, 266, 174, 803) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 266, 174, 803 is 1
GCD(26, 266, 174, 803) = 1
Given Input numbers are 26, 266, 174, 803
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 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Greatest Common Divisior
We found the divisors of 26, 266, 174, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 266, 174, 803 is 1.
Therefore, GCD of numbers 26, 266, 174, 803 is 1
Given Input Data is 26, 266, 174, 803
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 803 is 11 x 73
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, 266) = 3458
GCD(26, 266) = ( 26 x 266 ) / 3458
GCD(26, 266) = 6916 / 3458
GCD(26, 266) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
GCD(2, 174) = 348 / 174
GCD(2, 174) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 803) = 1606
GCD(2, 803) = ( 2 x 803 ) / 1606
GCD(2, 803) = 1606 / 1606
GCD(2, 803) = 1
GCD of 26, 266, 174, 803 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 266, 174, 803?
GCD of 26, 266, 174, 803 is 1
2. Where do I get the detailed procedure to find GCD of 26, 266, 174, 803?
You can find a detailed procedure to find GCD of 26, 266, 174, 803 on our page.
3. How to find GCD of 26, 266, 174, 803 on a calculator?
You can find the GCD of 26, 266, 174, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.