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 455, 100, 13, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 455, 100, 13, 833 is 1
GCD(455, 100, 13, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 455, 100, 13, 833 is 1
GCD(455, 100, 13, 833) = 1
Given Input numbers are 455, 100, 13, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 455, 100, 13, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 100, 13, 833 is 1.
Therefore, GCD of numbers 455, 100, 13, 833 is 1
Given Input Data is 455, 100, 13, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 13 is 13
Prime Factorization of 833 is 7 x 7 x 17
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(455, 100) = 9100
GCD(455, 100) = ( 455 x 100 ) / 9100
GCD(455, 100) = 45500 / 9100
GCD(455, 100) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 13) = 65
GCD(5, 13) = ( 5 x 13 ) / 65
GCD(5, 13) = 65 / 65
GCD(5, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 455, 100, 13, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 455, 100, 13, 833?
GCD of 455, 100, 13, 833 is 1
2. Where do I get the detailed procedure to find GCD of 455, 100, 13, 833?
You can find a detailed procedure to find GCD of 455, 100, 13, 833 on our page.
3. How to find GCD of 455, 100, 13, 833 on a calculator?
You can find the GCD of 455, 100, 13, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.