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 372, 516, 44, 453 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 516, 44, 453 is 1
GCD(372, 516, 44, 453) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 516, 44, 453 is 1
GCD(372, 516, 44, 453) = 1
Given Input numbers are 372, 516, 44, 453
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 372, 516, 44, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 516, 44, 453 is 1.
Therefore, GCD of numbers 372, 516, 44, 453 is 1
Given Input Data is 372, 516, 44, 453
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 453 is 3 x 151
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(372, 516) = 15996
GCD(372, 516) = ( 372 x 516 ) / 15996
GCD(372, 516) = 191952 / 15996
GCD(372, 516) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 44) = 132
GCD(12, 44) = ( 12 x 44 ) / 132
GCD(12, 44) = 528 / 132
GCD(12, 44) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 453) = 1812
GCD(4, 453) = ( 4 x 453 ) / 1812
GCD(4, 453) = 1812 / 1812
GCD(4, 453) = 1
GCD of 372, 516, 44, 453 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 516, 44, 453?
GCD of 372, 516, 44, 453 is 1
2. Where do I get the detailed procedure to find GCD of 372, 516, 44, 453?
You can find a detailed procedure to find GCD of 372, 516, 44, 453 on our page.
3. How to find GCD of 372, 516, 44, 453 on a calculator?
You can find the GCD of 372, 516, 44, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.