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 946, 393, 993, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 393, 993, 442 is 1
GCD(946, 393, 993, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 393, 993, 442 is 1
GCD(946, 393, 993, 442) = 1
Given Input numbers are 946, 393, 993, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 946, 393, 993, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 393, 993, 442 is 1.
Therefore, GCD of numbers 946, 393, 993, 442 is 1
Given Input Data is 946, 393, 993, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 393 is 3 x 131
Prime Factorization of 993 is 3 x 331
Prime Factorization of 442 is 2 x 13 x 17
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(946, 393) = 371778
GCD(946, 393) = ( 946 x 393 ) / 371778
GCD(946, 393) = 371778 / 371778
GCD(946, 393) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 946, 393, 993, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 393, 993, 442?
GCD of 946, 393, 993, 442 is 1
2. Where do I get the detailed procedure to find GCD of 946, 393, 993, 442?
You can find a detailed procedure to find GCD of 946, 393, 993, 442 on our page.
3. How to find GCD of 946, 393, 993, 442 on a calculator?
You can find the GCD of 946, 393, 993, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.