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, 385, 44, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 385, 44, 218 is 1
GCD(946, 385, 44, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 385, 44, 218 is 1
GCD(946, 385, 44, 218) = 1
Given Input numbers are 946, 385, 44, 218
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 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 946, 385, 44, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 385, 44, 218 is 1.
Therefore, GCD of numbers 946, 385, 44, 218 is 1
Given Input Data is 946, 385, 44, 218
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 385 is 5 x 7 x 11
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 218 is 2 x 109
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, 385) = 33110
GCD(946, 385) = ( 946 x 385 ) / 33110
GCD(946, 385) = 364210 / 33110
GCD(946, 385) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 44) = 44
GCD(11, 44) = ( 11 x 44 ) / 44
GCD(11, 44) = 484 / 44
GCD(11, 44) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 218) = 2398
GCD(11, 218) = ( 11 x 218 ) / 2398
GCD(11, 218) = 2398 / 2398
GCD(11, 218) = 1
GCD of 946, 385, 44, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 385, 44, 218?
GCD of 946, 385, 44, 218 is 1
2. Where do I get the detailed procedure to find GCD of 946, 385, 44, 218?
You can find a detailed procedure to find GCD of 946, 385, 44, 218 on our page.
3. How to find GCD of 946, 385, 44, 218 on a calculator?
You can find the GCD of 946, 385, 44, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.