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, 199, 393, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 199, 393, 320 is 1
GCD(946, 199, 393, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 199, 393, 320 is 1
GCD(946, 199, 393, 320) = 1
Given Input numbers are 946, 199, 393, 320
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 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 946, 199, 393, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 199, 393, 320 is 1.
Therefore, GCD of numbers 946, 199, 393, 320 is 1
Given Input Data is 946, 199, 393, 320
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 199 is 199
Prime Factorization of 393 is 3 x 131
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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, 199) = 188254
GCD(946, 199) = ( 946 x 199 ) / 188254
GCD(946, 199) = 188254 / 188254
GCD(946, 199) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 946, 199, 393, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 199, 393, 320?
GCD of 946, 199, 393, 320 is 1
2. Where do I get the detailed procedure to find GCD of 946, 199, 393, 320?
You can find a detailed procedure to find GCD of 946, 199, 393, 320 on our page.
3. How to find GCD of 946, 199, 393, 320 on a calculator?
You can find the GCD of 946, 199, 393, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.