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, 705, 854, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 705, 854, 956 is 1
GCD(26, 705, 854, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 705, 854, 956 is 1
GCD(26, 705, 854, 956) = 1
Given Input numbers are 26, 705, 854, 956
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 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 26, 705, 854, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 705, 854, 956 is 1.
Therefore, GCD of numbers 26, 705, 854, 956 is 1
Given Input Data is 26, 705, 854, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 956 is 2 x 2 x 239
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, 705) = 18330
GCD(26, 705) = ( 26 x 705 ) / 18330
GCD(26, 705) = 18330 / 18330
GCD(26, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 26, 705, 854, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 705, 854, 956?
GCD of 26, 705, 854, 956 is 1
2. Where do I get the detailed procedure to find GCD of 26, 705, 854, 956?
You can find a detailed procedure to find GCD of 26, 705, 854, 956 on our page.
3. How to find GCD of 26, 705, 854, 956 on a calculator?
You can find the GCD of 26, 705, 854, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.