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 37, 467, 940, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 467, 940, 372 is 1
GCD(37, 467, 940, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 467, 940, 372 is 1
GCD(37, 467, 940, 372) = 1
Given Input numbers are 37, 467, 940, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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
Greatest Common Divisior
We found the divisors of 37, 467, 940, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 467, 940, 372 is 1.
Therefore, GCD of numbers 37, 467, 940, 372 is 1
Given Input Data is 37, 467, 940, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 467 is 467
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(37, 467) = 17279
GCD(37, 467) = ( 37 x 467 ) / 17279
GCD(37, 467) = 17279 / 17279
GCD(37, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 37, 467, 940, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 467, 940, 372?
GCD of 37, 467, 940, 372 is 1
2. Where do I get the detailed procedure to find GCD of 37, 467, 940, 372?
You can find a detailed procedure to find GCD of 37, 467, 940, 372 on our page.
3. How to find GCD of 37, 467, 940, 372 on a calculator?
You can find the GCD of 37, 467, 940, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.