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 24, 891, 676, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 891, 676, 135 is 1
GCD(24, 891, 676, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 891, 676, 135 is 1
GCD(24, 891, 676, 135) = 1
Given Input numbers are 24, 891, 676, 135
To find the GCD of numbers using factoring list out all the divisors of each number
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 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 24, 891, 676, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 891, 676, 135 is 1.
Therefore, GCD of numbers 24, 891, 676, 135 is 1
Given Input Data is 24, 891, 676, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(24, 891) = 7128
GCD(24, 891) = ( 24 x 891 ) / 7128
GCD(24, 891) = 21384 / 7128
GCD(24, 891) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 676) = 2028
GCD(3, 676) = ( 3 x 676 ) / 2028
GCD(3, 676) = 2028 / 2028
GCD(3, 676) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 24, 891, 676, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 891, 676, 135?
GCD of 24, 891, 676, 135 is 1
2. Where do I get the detailed procedure to find GCD of 24, 891, 676, 135?
You can find a detailed procedure to find GCD of 24, 891, 676, 135 on our page.
3. How to find GCD of 24, 891, 676, 135 on a calculator?
You can find the GCD of 24, 891, 676, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.