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 396, 949, 43, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 949, 43, 557 is 1
GCD(396, 949, 43, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 949, 43, 557 is 1
GCD(396, 949, 43, 557) = 1
Given Input numbers are 396, 949, 43, 557
To find the GCD of numbers using factoring list out all the divisors of each number
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 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 396, 949, 43, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 949, 43, 557 is 1.
Therefore, GCD of numbers 396, 949, 43, 557 is 1
Given Input Data is 396, 949, 43, 557
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 949 is 13 x 73
Prime Factorization of 43 is 43
Prime Factorization of 557 is 557
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(396, 949) = 375804
GCD(396, 949) = ( 396 x 949 ) / 375804
GCD(396, 949) = 375804 / 375804
GCD(396, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
GCD of 396, 949, 43, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 949, 43, 557?
GCD of 396, 949, 43, 557 is 1
2. Where do I get the detailed procedure to find GCD of 396, 949, 43, 557?
You can find a detailed procedure to find GCD of 396, 949, 43, 557 on our page.
3. How to find GCD of 396, 949, 43, 557 on a calculator?
You can find the GCD of 396, 949, 43, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.