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, 858, 944, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 858, 944, 101 is 1
GCD(26, 858, 944, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 858, 944, 101 is 1
GCD(26, 858, 944, 101) = 1
Given Input numbers are 26, 858, 944, 101
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 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 26, 858, 944, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 858, 944, 101 is 1.
Therefore, GCD of numbers 26, 858, 944, 101 is 1
Given Input Data is 26, 858, 944, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 101 is 101
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, 858) = 858
GCD(26, 858) = ( 26 x 858 ) / 858
GCD(26, 858) = 22308 / 858
GCD(26, 858) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 944) = 12272
GCD(26, 944) = ( 26 x 944 ) / 12272
GCD(26, 944) = 24544 / 12272
GCD(26, 944) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 101) = 202
GCD(2, 101) = ( 2 x 101 ) / 202
GCD(2, 101) = 202 / 202
GCD(2, 101) = 1
GCD of 26, 858, 944, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 858, 944, 101?
GCD of 26, 858, 944, 101 is 1
2. Where do I get the detailed procedure to find GCD of 26, 858, 944, 101?
You can find a detailed procedure to find GCD of 26, 858, 944, 101 on our page.
3. How to find GCD of 26, 858, 944, 101 on a calculator?
You can find the GCD of 26, 858, 944, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.