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, 713, 751, 208 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 713, 751, 208 is 1
GCD(240, 713, 751, 208) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 713, 751, 208 is 1
GCD(240, 713, 751, 208) = 1
Given Input numbers are 240, 713, 751, 208
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Greatest Common Divisior
We found the divisors of 240, 713, 751, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 713, 751, 208 is 1.
Therefore, GCD of numbers 240, 713, 751, 208 is 1
Given Input Data is 240, 713, 751, 208
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 713 is 23 x 31
Prime Factorization of 751 is 751
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
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, 713) = 171120
GCD(240, 713) = ( 240 x 713 ) / 171120
GCD(240, 713) = 171120 / 171120
GCD(240, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 751) = 751
GCD(1, 751) = ( 1 x 751 ) / 751
GCD(1, 751) = 751 / 751
GCD(1, 751) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 1
GCD of 240, 713, 751, 208 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 713, 751, 208?
GCD of 240, 713, 751, 208 is 1
2. Where do I get the detailed procedure to find GCD of 240, 713, 751, 208?
You can find a detailed procedure to find GCD of 240, 713, 751, 208 on our page.
3. How to find GCD of 240, 713, 751, 208 on a calculator?
You can find the GCD of 240, 713, 751, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.