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 128, 787, 25, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 787, 25, 726 is 1
GCD(128, 787, 25, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 787, 25, 726 is 1
GCD(128, 787, 25, 726) = 1
Given Input numbers are 128, 787, 25, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 128, 787, 25, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 787, 25, 726 is 1.
Therefore, GCD of numbers 128, 787, 25, 726 is 1
Given Input Data is 128, 787, 25, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 787 is 787
Prime Factorization of 25 is 5 x 5
Prime Factorization of 726 is 2 x 3 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(128, 787) = 100736
GCD(128, 787) = ( 128 x 787 ) / 100736
GCD(128, 787) = 100736 / 100736
GCD(128, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 128, 787, 25, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 787, 25, 726?
GCD of 128, 787, 25, 726 is 1
2. Where do I get the detailed procedure to find GCD of 128, 787, 25, 726?
You can find a detailed procedure to find GCD of 128, 787, 25, 726 on our page.
3. How to find GCD of 128, 787, 25, 726 on a calculator?
You can find the GCD of 128, 787, 25, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.