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 243, 854, 77, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 854, 77, 487 is 1
GCD(243, 854, 77, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 854, 77, 487 is 1
GCD(243, 854, 77, 487) = 1
Given Input numbers are 243, 854, 77, 487
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
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 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Greatest Common Divisior
We found the divisors of 243, 854, 77, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 854, 77, 487 is 1.
Therefore, GCD of numbers 243, 854, 77, 487 is 1
Given Input Data is 243, 854, 77, 487
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 77 is 7 x 11
Prime Factorization of 487 is 487
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(243, 854) = 207522
GCD(243, 854) = ( 243 x 854 ) / 207522
GCD(243, 854) = 207522 / 207522
GCD(243, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
GCD of 243, 854, 77, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 854, 77, 487?
GCD of 243, 854, 77, 487 is 1
2. Where do I get the detailed procedure to find GCD of 243, 854, 77, 487?
You can find a detailed procedure to find GCD of 243, 854, 77, 487 on our page.
3. How to find GCD of 243, 854, 77, 487 on a calculator?
You can find the GCD of 243, 854, 77, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.