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 40, 232, 915, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 232, 915, 462 is 1
GCD(40, 232, 915, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 232, 915, 462 is 1
GCD(40, 232, 915, 462) = 1
Given Input numbers are 40, 232, 915, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 40, 232, 915, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 232, 915, 462 is 1.
Therefore, GCD of numbers 40, 232, 915, 462 is 1
Given Input Data is 40, 232, 915, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(40, 232) = 1160
GCD(40, 232) = ( 40 x 232 ) / 1160
GCD(40, 232) = 9280 / 1160
GCD(40, 232) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 915) = 7320
GCD(8, 915) = ( 8 x 915 ) / 7320
GCD(8, 915) = 7320 / 7320
GCD(8, 915) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 40, 232, 915, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 232, 915, 462?
GCD of 40, 232, 915, 462 is 1
2. Where do I get the detailed procedure to find GCD of 40, 232, 915, 462?
You can find a detailed procedure to find GCD of 40, 232, 915, 462 on our page.
3. How to find GCD of 40, 232, 915, 462 on a calculator?
You can find the GCD of 40, 232, 915, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.