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, 843, 828, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 843, 828, 968 is 1
GCD(715, 843, 828, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 843, 828, 968 is 1
GCD(715, 843, 828, 968) = 1
Given Input numbers are 715, 843, 828, 968
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 715, 843, 828, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 843, 828, 968 is 1.
Therefore, GCD of numbers 715, 843, 828, 968 is 1
Given Input Data is 715, 843, 828, 968
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 843 is 3 x 281
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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, 843) = 602745
GCD(715, 843) = ( 715 x 843 ) / 602745
GCD(715, 843) = 602745 / 602745
GCD(715, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 715, 843, 828, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 843, 828, 968?
GCD of 715, 843, 828, 968 is 1
2. Where do I get the detailed procedure to find GCD of 715, 843, 828, 968?
You can find a detailed procedure to find GCD of 715, 843, 828, 968 on our page.
3. How to find GCD of 715, 843, 828, 968 on a calculator?
You can find the GCD of 715, 843, 828, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.