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 240, 115, 97, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 115, 97, 696 is 1
GCD(240, 115, 97, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 115, 97, 696 is 1
GCD(240, 115, 97, 696) = 1
Given Input numbers are 240, 115, 97, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 240, 115, 97, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 115, 97, 696 is 1.
Therefore, GCD of numbers 240, 115, 97, 696 is 1
Given Input Data is 240, 115, 97, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 115 is 5 x 23
Prime Factorization of 97 is 97
Prime Factorization of 696 is 2 x 2 x 2 x 3 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(240, 115) = 5520
GCD(240, 115) = ( 240 x 115 ) / 5520
GCD(240, 115) = 27600 / 5520
GCD(240, 115) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 97) = 485
GCD(5, 97) = ( 5 x 97 ) / 485
GCD(5, 97) = 485 / 485
GCD(5, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 240, 115, 97, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 115, 97, 696?
GCD of 240, 115, 97, 696 is 1
2. Where do I get the detailed procedure to find GCD of 240, 115, 97, 696?
You can find a detailed procedure to find GCD of 240, 115, 97, 696 on our page.
3. How to find GCD of 240, 115, 97, 696 on a calculator?
You can find the GCD of 240, 115, 97, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.