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, 949, 471, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 455, 949, 471, 136 is 1
GCD(455, 949, 471, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 455, 949, 471, 136 is 1
GCD(455, 949, 471, 136) = 1
Given Input numbers are 455, 949, 471, 136
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 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 455, 949, 471, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 949, 471, 136 is 1.
Therefore, GCD of numbers 455, 949, 471, 136 is 1
Given Input Data is 455, 949, 471, 136
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 949 is 13 x 73
Prime Factorization of 471 is 3 x 157
Prime Factorization of 136 is 2 x 2 x 2 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, 949) = 33215
GCD(455, 949) = ( 455 x 949 ) / 33215
GCD(455, 949) = 431795 / 33215
GCD(455, 949) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 471) = 6123
GCD(13, 471) = ( 13 x 471 ) / 6123
GCD(13, 471) = 6123 / 6123
GCD(13, 471) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
GCD of 455, 949, 471, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 455, 949, 471, 136?
GCD of 455, 949, 471, 136 is 1
2. Where do I get the detailed procedure to find GCD of 455, 949, 471, 136?
You can find a detailed procedure to find GCD of 455, 949, 471, 136 on our page.
3. How to find GCD of 455, 949, 471, 136 on a calculator?
You can find the GCD of 455, 949, 471, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.