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 867, 778, 24, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 778, 24, 827 is 1
GCD(867, 778, 24, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 778, 24, 827 is 1
GCD(867, 778, 24, 827) = 1
Given Input numbers are 867, 778, 24, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 867, 778, 24, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 778, 24, 827 is 1.
Therefore, GCD of numbers 867, 778, 24, 827 is 1
Given Input Data is 867, 778, 24, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 778 is 2 x 389
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 827 is 827
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(867, 778) = 674526
GCD(867, 778) = ( 867 x 778 ) / 674526
GCD(867, 778) = 674526 / 674526
GCD(867, 778) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
GCD of 867, 778, 24, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 778, 24, 827?
GCD of 867, 778, 24, 827 is 1
2. Where do I get the detailed procedure to find GCD of 867, 778, 24, 827?
You can find a detailed procedure to find GCD of 867, 778, 24, 827 on our page.
3. How to find GCD of 867, 778, 24, 827 on a calculator?
You can find the GCD of 867, 778, 24, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.