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 466, 748, 24, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 466, 748, 24, 833 is 1
GCD(466, 748, 24, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 466, 748, 24, 833 is 1
GCD(466, 748, 24, 833) = 1
Given Input numbers are 466, 748, 24, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 466, 748, 24, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 748, 24, 833 is 1.
Therefore, GCD of numbers 466, 748, 24, 833 is 1
Given Input Data is 466, 748, 24, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 466 is 2 x 233
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 833 is 7 x 7 x 17
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(466, 748) = 174284
GCD(466, 748) = ( 466 x 748 ) / 174284
GCD(466, 748) = 348568 / 174284
GCD(466, 748) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
GCD(2, 24) = 48 / 24
GCD(2, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 833) = 1666
GCD(2, 833) = ( 2 x 833 ) / 1666
GCD(2, 833) = 1666 / 1666
GCD(2, 833) = 1
GCD of 466, 748, 24, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 466, 748, 24, 833?
GCD of 466, 748, 24, 833 is 1
2. Where do I get the detailed procedure to find GCD of 466, 748, 24, 833?
You can find a detailed procedure to find GCD of 466, 748, 24, 833 on our page.
3. How to find GCD of 466, 748, 24, 833 on a calculator?
You can find the GCD of 466, 748, 24, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.