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, 252, 791, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 252, 791, 427 is 1
GCD(37, 252, 791, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 252, 791, 427 is 1
GCD(37, 252, 791, 427) = 1
Given Input numbers are 37, 252, 791, 427
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 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 37, 252, 791, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 252, 791, 427 is 1.
Therefore, GCD of numbers 37, 252, 791, 427 is 1
Given Input Data is 37, 252, 791, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 791 is 7 x 113
Prime Factorization of 427 is 7 x 61
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, 252) = 9324
GCD(37, 252) = ( 37 x 252 ) / 9324
GCD(37, 252) = 9324 / 9324
GCD(37, 252) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 37, 252, 791, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 252, 791, 427?
GCD of 37, 252, 791, 427 is 1
2. Where do I get the detailed procedure to find GCD of 37, 252, 791, 427?
You can find a detailed procedure to find GCD of 37, 252, 791, 427 on our page.
3. How to find GCD of 37, 252, 791, 427 on a calculator?
You can find the GCD of 37, 252, 791, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.