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 125, 854, 26, 446 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 854, 26, 446 is 1
GCD(125, 854, 26, 446) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 854, 26, 446 is 1
GCD(125, 854, 26, 446) = 1
Given Input numbers are 125, 854, 26, 446
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
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 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 125, 854, 26, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 854, 26, 446 is 1.
Therefore, GCD of numbers 125, 854, 26, 446 is 1
Given Input Data is 125, 854, 26, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 26 is 2 x 13
Prime Factorization of 446 is 2 x 223
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(125, 854) = 106750
GCD(125, 854) = ( 125 x 854 ) / 106750
GCD(125, 854) = 106750 / 106750
GCD(125, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 26) = 26
GCD(1, 26) = ( 1 x 26 ) / 26
GCD(1, 26) = 26 / 26
GCD(1, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
GCD of 125, 854, 26, 446 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 854, 26, 446?
GCD of 125, 854, 26, 446 is 1
2. Where do I get the detailed procedure to find GCD of 125, 854, 26, 446?
You can find a detailed procedure to find GCD of 125, 854, 26, 446 on our page.
3. How to find GCD of 125, 854, 26, 446 on a calculator?
You can find the GCD of 125, 854, 26, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.