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, 902, 68, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 902, 68, 238 is 1
GCD(715, 902, 68, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 902, 68, 238 is 1
GCD(715, 902, 68, 238) = 1
Given Input numbers are 715, 902, 68, 238
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 715, 902, 68, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 902, 68, 238 is 1.
Therefore, GCD of numbers 715, 902, 68, 238 is 1
Given Input Data is 715, 902, 68, 238
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 902 is 2 x 11 x 41
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 238 is 2 x 7 x 17
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, 902) = 58630
GCD(715, 902) = ( 715 x 902 ) / 58630
GCD(715, 902) = 644930 / 58630
GCD(715, 902) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 68) = 748
GCD(11, 68) = ( 11 x 68 ) / 748
GCD(11, 68) = 748 / 748
GCD(11, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 715, 902, 68, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 902, 68, 238?
GCD of 715, 902, 68, 238 is 1
2. Where do I get the detailed procedure to find GCD of 715, 902, 68, 238?
You can find a detailed procedure to find GCD of 715, 902, 68, 238 on our page.
3. How to find GCD of 715, 902, 68, 238 on a calculator?
You can find the GCD of 715, 902, 68, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.