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 715, 243, 691, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 243, 691, 703 is 1
GCD(715, 243, 691, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 243, 691, 703 is 1
GCD(715, 243, 691, 703) = 1
Given Input numbers are 715, 243, 691, 703
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 715, 243, 691, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 243, 691, 703 is 1.
Therefore, GCD of numbers 715, 243, 691, 703 is 1
Given Input Data is 715, 243, 691, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 691 is 691
Prime Factorization of 703 is 19 x 37
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(715, 243) = 173745
GCD(715, 243) = ( 715 x 243 ) / 173745
GCD(715, 243) = 173745 / 173745
GCD(715, 243) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
GCD of 715, 243, 691, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 243, 691, 703?
GCD of 715, 243, 691, 703 is 1
2. Where do I get the detailed procedure to find GCD of 715, 243, 691, 703?
You can find a detailed procedure to find GCD of 715, 243, 691, 703 on our page.
3. How to find GCD of 715, 243, 691, 703 on a calculator?
You can find the GCD of 715, 243, 691, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.