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, 817, 272, 782 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 817, 272, 782 is 1
GCD(24, 817, 272, 782) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 817, 272, 782 is 1
GCD(24, 817, 272, 782) = 1
Given Input numbers are 24, 817, 272, 782
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 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 24, 817, 272, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 817, 272, 782 is 1.
Therefore, GCD of numbers 24, 817, 272, 782 is 1
Given Input Data is 24, 817, 272, 782
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 817 is 19 x 43
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 782 is 2 x 17 x 23
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, 817) = 19608
GCD(24, 817) = ( 24 x 817 ) / 19608
GCD(24, 817) = 19608 / 19608
GCD(24, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
GCD of 24, 817, 272, 782 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 817, 272, 782?
GCD of 24, 817, 272, 782 is 1
2. Where do I get the detailed procedure to find GCD of 24, 817, 272, 782?
You can find a detailed procedure to find GCD of 24, 817, 272, 782 on our page.
3. How to find GCD of 24, 817, 272, 782 on a calculator?
You can find the GCD of 24, 817, 272, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.