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, 854, 27, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 455, 854, 27, 701 is 1
GCD(455, 854, 27, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 455, 854, 27, 701 is 1
GCD(455, 854, 27, 701) = 1
Given Input numbers are 455, 854, 27, 701
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 455, 854, 27, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 854, 27, 701 is 1.
Therefore, GCD of numbers 455, 854, 27, 701 is 1
Given Input Data is 455, 854, 27, 701
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 854 is 2 x 7 x 61
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 701 is 701
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, 854) = 55510
GCD(455, 854) = ( 455 x 854 ) / 55510
GCD(455, 854) = 388570 / 55510
GCD(455, 854) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 27) = 189
GCD(7, 27) = ( 7 x 27 ) / 189
GCD(7, 27) = 189 / 189
GCD(7, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 455, 854, 27, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 455, 854, 27, 701?
GCD of 455, 854, 27, 701 is 1
2. Where do I get the detailed procedure to find GCD of 455, 854, 27, 701?
You can find a detailed procedure to find GCD of 455, 854, 27, 701 on our page.
3. How to find GCD of 455, 854, 27, 701 on a calculator?
You can find the GCD of 455, 854, 27, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.