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 953, 396, 133, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 953, 396, 133, 983 is 1
GCD(953, 396, 133, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 953, 396, 133, 983 is 1
GCD(953, 396, 133, 983) = 1
Given Input numbers are 953, 396, 133, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 953, 396, 133, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 396, 133, 983 is 1.
Therefore, GCD of numbers 953, 396, 133, 983 is 1
Given Input Data is 953, 396, 133, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 953 is 953
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 133 is 7 x 19
Prime Factorization of 983 is 983
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(953, 396) = 377388
GCD(953, 396) = ( 953 x 396 ) / 377388
GCD(953, 396) = 377388 / 377388
GCD(953, 396) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 953, 396, 133, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 953, 396, 133, 983?
GCD of 953, 396, 133, 983 is 1
2. Where do I get the detailed procedure to find GCD of 953, 396, 133, 983?
You can find a detailed procedure to find GCD of 953, 396, 133, 983 on our page.
3. How to find GCD of 953, 396, 133, 983 on a calculator?
You can find the GCD of 953, 396, 133, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.