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 472, 396, 40, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 472, 396, 40, 753 is 1
GCD(472, 396, 40, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 396, 40, 753 is 1
GCD(472, 396, 40, 753) = 1
Given Input numbers are 472, 396, 40, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 472, 396, 40, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 396, 40, 753 is 1.
Therefore, GCD of numbers 472, 396, 40, 753 is 1
Given Input Data is 472, 396, 40, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 753 is 3 x 251
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(472, 396) = 46728
GCD(472, 396) = ( 472 x 396 ) / 46728
GCD(472, 396) = 186912 / 46728
GCD(472, 396) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 753) = 3012
GCD(4, 753) = ( 4 x 753 ) / 3012
GCD(4, 753) = 3012 / 3012
GCD(4, 753) = 1
GCD of 472, 396, 40, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 396, 40, 753?
GCD of 472, 396, 40, 753 is 1
2. Where do I get the detailed procedure to find GCD of 472, 396, 40, 753?
You can find a detailed procedure to find GCD of 472, 396, 40, 753 on our page.
3. How to find GCD of 472, 396, 40, 753 on a calculator?
You can find the GCD of 472, 396, 40, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.