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 722, 629, 24, 832 i.e. 1 largest integer that divides all the numbers equally.
GCD of 722, 629, 24, 832 is 1
GCD(722, 629, 24, 832) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 629, 24, 832 is 1
GCD(722, 629, 24, 832) = 1
Given Input numbers are 722, 629, 24, 832
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
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 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 722, 629, 24, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 629, 24, 832 is 1.
Therefore, GCD of numbers 722, 629, 24, 832 is 1
Given Input Data is 722, 629, 24, 832
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 629 is 17 x 37
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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(722, 629) = 454138
GCD(722, 629) = ( 722 x 629 ) / 454138
GCD(722, 629) = 454138 / 454138
GCD(722, 629) = 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 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
GCD of 722, 629, 24, 832 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 629, 24, 832?
GCD of 722, 629, 24, 832 is 1
2. Where do I get the detailed procedure to find GCD of 722, 629, 24, 832?
You can find a detailed procedure to find GCD of 722, 629, 24, 832 on our page.
3. How to find GCD of 722, 629, 24, 832 on a calculator?
You can find the GCD of 722, 629, 24, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.