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 787, 667, 24, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 667, 24, 772 is 1
GCD(787, 667, 24, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 667, 24, 772 is 1
GCD(787, 667, 24, 772) = 1
Given Input numbers are 787, 667, 24, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 787, 667, 24, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 667, 24, 772 is 1.
Therefore, GCD of numbers 787, 667, 24, 772 is 1
Given Input Data is 787, 667, 24, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 667 is 23 x 29
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 772 is 2 x 2 x 193
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(787, 667) = 524929
GCD(787, 667) = ( 787 x 667 ) / 524929
GCD(787, 667) = 524929 / 524929
GCD(787, 667) = 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 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 787, 667, 24, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 667, 24, 772?
GCD of 787, 667, 24, 772 is 1
2. Where do I get the detailed procedure to find GCD of 787, 667, 24, 772?
You can find a detailed procedure to find GCD of 787, 667, 24, 772 on our page.
3. How to find GCD of 787, 667, 24, 772 on a calculator?
You can find the GCD of 787, 667, 24, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.