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, 577, 814, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 577, 814, 745 is 1
GCD(243, 577, 814, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 577, 814, 745 is 1
GCD(243, 577, 814, 745) = 1
Given Input numbers are 243, 577, 814, 745
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 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 243, 577, 814, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 577, 814, 745 is 1.
Therefore, GCD of numbers 243, 577, 814, 745 is 1
Given Input Data is 243, 577, 814, 745
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 577 is 577
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 745 is 5 x 149
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, 577) = 140211
GCD(243, 577) = ( 243 x 577 ) / 140211
GCD(243, 577) = 140211 / 140211
GCD(243, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 243, 577, 814, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 577, 814, 745?
GCD of 243, 577, 814, 745 is 1
2. Where do I get the detailed procedure to find GCD of 243, 577, 814, 745?
You can find a detailed procedure to find GCD of 243, 577, 814, 745 on our page.
3. How to find GCD of 243, 577, 814, 745 on a calculator?
You can find the GCD of 243, 577, 814, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.