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, 707, 405, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 707, 405, 932 is 1
GCD(24, 707, 405, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 707, 405, 932 is 1
GCD(24, 707, 405, 932) = 1
Given Input numbers are 24, 707, 405, 932
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 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 24, 707, 405, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 707, 405, 932 is 1.
Therefore, GCD of numbers 24, 707, 405, 932 is 1
Given Input Data is 24, 707, 405, 932
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 707 is 7 x 101
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 932 is 2 x 2 x 233
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, 707) = 16968
GCD(24, 707) = ( 24 x 707 ) / 16968
GCD(24, 707) = 16968 / 16968
GCD(24, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
GCD of 24, 707, 405, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 707, 405, 932?
GCD of 24, 707, 405, 932 is 1
2. Where do I get the detailed procedure to find GCD of 24, 707, 405, 932?
You can find a detailed procedure to find GCD of 24, 707, 405, 932 on our page.
3. How to find GCD of 24, 707, 405, 932 on a calculator?
You can find the GCD of 24, 707, 405, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.