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 791, 471, 24, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 471, 24, 653 is 1
GCD(791, 471, 24, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 471, 24, 653 is 1
GCD(791, 471, 24, 653) = 1
Given Input numbers are 791, 471, 24, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
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 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 791, 471, 24, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 471, 24, 653 is 1.
Therefore, GCD of numbers 791, 471, 24, 653 is 1
Given Input Data is 791, 471, 24, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 471 is 3 x 157
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 653 is 653
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(791, 471) = 372561
GCD(791, 471) = ( 791 x 471 ) / 372561
GCD(791, 471) = 372561 / 372561
GCD(791, 471) = 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 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 791, 471, 24, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 471, 24, 653?
GCD of 791, 471, 24, 653 is 1
2. Where do I get the detailed procedure to find GCD of 791, 471, 24, 653?
You can find a detailed procedure to find GCD of 791, 471, 24, 653 on our page.
3. How to find GCD of 791, 471, 24, 653 on a calculator?
You can find the GCD of 791, 471, 24, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.