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, 764, 15, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 764, 15, 377 is 1
GCD(243, 764, 15, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 764, 15, 377 is 1
GCD(243, 764, 15, 377) = 1
Given Input numbers are 243, 764, 15, 377
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 243, 764, 15, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 764, 15, 377 is 1.
Therefore, GCD of numbers 243, 764, 15, 377 is 1
Given Input Data is 243, 764, 15, 377
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 764 is 2 x 2 x 191
Prime Factorization of 15 is 3 x 5
Prime Factorization of 377 is 13 x 29
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, 764) = 185652
GCD(243, 764) = ( 243 x 764 ) / 185652
GCD(243, 764) = 185652 / 185652
GCD(243, 764) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 377) = 377
GCD(1, 377) = ( 1 x 377 ) / 377
GCD(1, 377) = 377 / 377
GCD(1, 377) = 1
GCD of 243, 764, 15, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 764, 15, 377?
GCD of 243, 764, 15, 377 is 1
2. Where do I get the detailed procedure to find GCD of 243, 764, 15, 377?
You can find a detailed procedure to find GCD of 243, 764, 15, 377 on our page.
3. How to find GCD of 243, 764, 15, 377 on a calculator?
You can find the GCD of 243, 764, 15, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.