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, 133, 418, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 133, 418, 984 is 1
GCD(37, 133, 418, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 133, 418, 984 is 1
GCD(37, 133, 418, 984) = 1
Given Input numbers are 37, 133, 418, 984
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 37, 133, 418, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 133, 418, 984 is 1.
Therefore, GCD of numbers 37, 133, 418, 984 is 1
Given Input Data is 37, 133, 418, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 133 is 7 x 19
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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, 133) = 4921
GCD(37, 133) = ( 37 x 133 ) / 4921
GCD(37, 133) = 4921 / 4921
GCD(37, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 37, 133, 418, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 133, 418, 984?
GCD of 37, 133, 418, 984 is 1
2. Where do I get the detailed procedure to find GCD of 37, 133, 418, 984?
You can find a detailed procedure to find GCD of 37, 133, 418, 984 on our page.
3. How to find GCD of 37, 133, 418, 984 on a calculator?
You can find the GCD of 37, 133, 418, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.