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 869, 767, 238, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 869, 767, 238, 728 is 1
GCD(869, 767, 238, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 767, 238, 728 is 1
GCD(869, 767, 238, 728) = 1
Given Input numbers are 869, 767, 238, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 869, 767, 238, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 767, 238, 728 is 1.
Therefore, GCD of numbers 869, 767, 238, 728 is 1
Given Input Data is 869, 767, 238, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 767 is 13 x 59
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 728 is 2 x 2 x 2 x 7 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(869, 767) = 666523
GCD(869, 767) = ( 869 x 767 ) / 666523
GCD(869, 767) = 666523 / 666523
GCD(869, 767) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 869, 767, 238, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 869, 767, 238, 728?
GCD of 869, 767, 238, 728 is 1
2. Where do I get the detailed procedure to find GCD of 869, 767, 238, 728?
You can find a detailed procedure to find GCD of 869, 767, 238, 728 on our page.
3. How to find GCD of 869, 767, 238, 728 on a calculator?
You can find the GCD of 869, 767, 238, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.