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 868, 408, 587, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 868, 408, 587, 788 is 1
GCD(868, 408, 587, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 868, 408, 587, 788 is 1
GCD(868, 408, 587, 788) = 1
Given Input numbers are 868, 408, 587, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 868, 408, 587, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 408, 587, 788 is 1.
Therefore, GCD of numbers 868, 408, 587, 788 is 1
Given Input Data is 868, 408, 587, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 587 is 587
Prime Factorization of 788 is 2 x 2 x 197
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(868, 408) = 88536
GCD(868, 408) = ( 868 x 408 ) / 88536
GCD(868, 408) = 354144 / 88536
GCD(868, 408) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 587) = 2348
GCD(4, 587) = ( 4 x 587 ) / 2348
GCD(4, 587) = 2348 / 2348
GCD(4, 587) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
GCD of 868, 408, 587, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 868, 408, 587, 788?
GCD of 868, 408, 587, 788 is 1
2. Where do I get the detailed procedure to find GCD of 868, 408, 587, 788?
You can find a detailed procedure to find GCD of 868, 408, 587, 788 on our page.
3. How to find GCD of 868, 408, 587, 788 on a calculator?
You can find the GCD of 868, 408, 587, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.